The Ornstein-Zernike (O-Z) equation for a multicomponent mixture of Yukawa fluids is solved by use of the Wiener-Hopf factorization method developed by Baxter, within the mean spherical approximation (MSA). The fluid-surface interface is then studied through the use of a limiting procedure on a binary mixture, namely, one component is extremely low density but very large radius. Systematic numerical studies of the wall density profile at different points in thermodynamic phase space are given, and these results confirm the monolayer and multilayer structures found by Monte Carlo methods, provided that the coexistence regions of phase space are avoided. Inside the coexistence regions the integral equations apparently give unphysical solutions.