  In $D=4$, $\cal{N}=1$ conformal superspace, the Yang-Mills matter coupled
supergravity system is constructed where the Yang-Mills gauge interaction is
introduced by extending the superconformal group to include the K\"ahler
isometry group of chiral matter fields. There are two gauge-fixing procedures
to get to the component Poincar\'e supergravity: one via the superconformal
component formalism and the other via the Poincar\'e superspace formalism.
These two types of superconformal gauge-fixing conditions are analyzed in
detail and their correspondence is clarified.
