Tom and Sandy have set up a sinking fund in order to have $$105,000\mathrm{.}00$ in $10$ years for their child's college education. How much should be paid semiannually into an ordinary annuity earning $6\mathrm{.}44\%$ compounded semiannually so that they reach their goal?

$($Note: Your answer is a dollar amount and should include a dollar sign$)$