A car costing $ $63372$ 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 $5\mathrm{.}5\%$ convertible monthly. Calculate X$.$

a$.$

$$290\mathrm{.}46$

b$.$

$$515\mathrm{.}81$

c$.$

$$536\mathrm{.}45$

d$.$

$$505\mathrm{.}50$

e$.$

$$284\mathrm{.}65$