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.$)$

$$400$ per month for $10$ years, if the account earns $5\%$ per year and if there is to be $$10,000$ left in the annuity at the end of the $10$ years