  We compute the most general superconformal blocks for scalar operators in
$4\mathcal{D}$ $\mathcal{N}=1$ superconformal field theories. Specifically we
employ the supershadow formalism to study the four-point correlator
$\langle\Phi_1 \Phi_2 \Phi_3 \Phi_4\rangle$, in which the four scalars $\Phi_i$
have arbitrary scaling dimensions and R-charges with the only constraint from
R-symmetry invariance of the four-point function. The exchanged operators can
have arbitrary R-charges. Our results extend previous studies on $4\mathcal{D}$
$\mathcal{N}=1$ superconmformal blocks to the most general case, which are the
essential ingredient for superconformal bootstrap, especially for bootstrapping
mixed correlators of scalars with independent scaling dimensions and R-charges.
