New Revised Standard Version
Go in at once to King David, and say to him, ‘Did you not, my lord the king, swear to your servant, saying: Your son Solomon shall succeed me as king, and he shall sit on my throne? Why then is Adonijah king?’

Contemporary English Version
Go say to David, "You promised me that Solomon would be the next king. So why is Adonijah now king?"

New American Bible
Go, visit King David, and say to him, ‘Did you not, my lord king, swear to your handmaid: Your son Solomon shall be king after me; it is he who shall sit upon my throne? Why, then, has Adonijah become king?’

Douay-Rheims Bible
Go, and get thee in to king David, and say to him: Didst not thou, my lord, O king, swear to me, thy handmaid, saying: Solomon, thy son, shall reign after me, and he shall sit on my throne? why then doth Adonias reign?

Go, and get thee in to king David, and say to him: Didst not thou, my lord, O king, swear to me, thy handmaid, saying: Solomon, thy son, shall reign after me, and he shall sit on my throne? why then doth Adonias reign?

Assuredly

1 Kings 1:11,17,30 And Nathan said to Bethsabee, the mother of Solomon: Hast thou not heard that Adonias, the son of Haggith, reigneth, and our lord David knoweth it not? . . .

1 Chronicles 22:6-13 And he called for Solomon his son: and commanded him to build a house to the Lord the God of Israel. . . .

sit

1 Kings 1:17,24,35,48 She answered, and said: My lord, thou didst swear to thy handmaid, by the Lord thy God, saying: Solomon, thy son, shall reign after me, and he shall sit on my throne. . . .

1 Kings 2:12 And Solomon sat upon the throne of his father David, and his kingdom was strengthened exceedingly.

Deuteronomy 17:18 But after he is raised to the throne of his kingdom, he shall copy out to himself the Deuteronomy of this law in a volume, taking the copy of the priests of the Levitical tribe,

1 Chronicles 29:23 And Solomon sat on the throne of the Lord as king instead of David his father, and he pleased all: and all Israel obeyed him.

Psalm 132:11,12 The Lord hath sworn truth to David, and he will not make it void: of the fruit of thy womb I will set upon thy throne. . . .

Isaiah 9:7 His empire shall be multiplied, and there shall be no end of peace: he shall sit upon the throne of David, and upon his kingdom; to establish it and strengthen it with judgment and with justice, from henceforth and for ever: the zeal of the Lord of hosts will perform this.

Jeremiah 33:21 Also my covenant with David my servant may be made void, that he should not have a son to reign upon his throne, and with the Levites and priests my ministers.

Luke 1:32,33 He shall be great and shall be called the Son of the Most High. And the Lord God shall give unto him the throne of David his father: and he shall reign in the house of Jacob for ever. . . .