  In this paper we give the existence of prescribed mean curvature (PMC)
hypersurfaces in conformal product manifolds with (possibly empty)
$C^{1,\alpha}$ fixed graphical boundaries under a barrier condition. This
generalizes Gerhardt's result in conformally flat spaces. It provides new
examples of the Plateau problem of PMC hypersurfaces with clear topology under
high dimensions. In addition, if a quasi-decreasing condition of PMC functions
is satisfied, such PMC hypersurfaces are $C^1$ graphs.
