Problem $8-9$ Valuing Bonds

Union Local School District has bonds outstanding with a coupon rate of $3\mathrm{.}2$ percent paid semiannually and $15$ years to maturity. The yield to maturity on these bonds is $3\mathrm{.}5$ percent and the bonds have a par value of $$5,000.$ What is the dollar price of the bond? $($Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Answer is complete but not entirely correct.

$\backslash$table$[[$Bond price,$$4,778\mathrm{.}24ox$