We give semi-empirical expressions for five terms in an inverse temperature expansion of the radial distribution function of a Yukawa fluid. The parameters in these terms are chosen to fit what we believe should be an accurate equation of state when either the energy or pressure routes is used. Thus, a measure of self consistency is achieved. The equation of state which is the basis of our fit is the inverse temperature expansion of the Yukawa fluid free energy, obtained from the mean spherical approximation but modified to give reasonable results at low densities.