A business sets up a sinking fund so they will have a $$52,000\mathrm{.}00$ to pay for a replacement piece of equipment in $7$ years when the current equipment will be sold for scrap. If they make deposits at the end of each month for $7$ years in the investment that pays $6\mathrm{.}3\%$ compounded monthly, what size should each payment be$?$

The monthly payments are $$.($Round to $2$ decimal places.$)$