Balance the following redox reaction in basic solution.

$Mn{O}_2(s)+F{e}^{3+}(aq)Mn{O}_4^{-}(aq)+F{e}^{2+}(aq)$

$[$:$Mn{O}_2(s)+F{e}^{3+}(aq)Mn{O}_4^{-}(aq)+F{e}^{2+}(aq)\}$