John Gill's  Exposition of the Bible 

1 Kings 1:38

So Zadok the priest, and Nathan the prophet, and Benaiah the son of Jehoiada, and the Cherethites, and the Pelethites, went down, and caused Solomon to ride upon king David's mule, and brought him to Gihon.

So Zadok the priest, and Nathan the prophet, and Benaiah the son of Jehoiada,.... The three men that David sent for on this occasion:

and the Cherethites and the Pelethites; not the sanhedrim, as Ben Gersom, but David's guards, over whom Benaiah was: these

went down; from Jerusalem;

and caused Solomon to ride upon king David's mule; as he had ordered:

and brought him to Gihon; or Siloah, as the Targum; hence the Jews say {e}, they do not anoint a king but at a fountain; but this is the only instance of it.

{e} T. Bab. Ceritot, fol. 5. 2.