The Quran informs that Prophet Solomon was the successor of Prophet David (peace be upon them). The term used in the verse is warith which as a literal translation means 'inherited'. Muslim scholars, including bakrites, understand this to mean that he inherited his position as his successor, rather than material inheritance.
The Bible shares the view of this successorship. King David informs his wife Bathsheba that he will appoint her son Solomon as king. King David also directs his ministers to conduct an official public coronation to announce Solomon's rise to the throne. This coronation event takes place at Gihon Spring and reminds one of the coronation of Imam Ali (peace be upon him) at Ghadir Khumm.
Source: ShiaBrain