A car costing $$65247$ is purchased with a $25\%$ down payment and further payments of $x$ at the end of every month for $10$ years. The annual nominal interest rate is $8\mathrm{.}7\%$ convertible monthly. Calculate $x.$

a$.$ $$599\mathrm{.}73$

b$.$ $$611\mathrm{.}97$

c$.$ $$449\mathrm{.}39$

d$.$ $$581\mathrm{.}38$

e$.$ $$473\mathrm{.}04$

ear my choice