Find the present value PV of the annuity account necessary to fund the withdrawal given. $($Assume end$-$of$-$period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.$)$

$$400$ per month for $15$ years, if the account earns $6\%$ per year and if there is to be $$10,000$ left in the annuity at the end of the $15$ years

PV $=$ $