  \noindent In the present investigation, we find the sharp bound of fifth
coefficient of analytic normalized function $f$ satisfying $z f'(z)/f(z) \prec
\varphi(z)$ when coefficients of $\varphi$ satisfy certain conditions. For an
appropriate choice of $\varphi$, the already known estimates for various other
subclasses of starlike functions follow directly from the obtained result.
