June $19,2024$

$4.$ Payments of $$2400$ originally scheduled to be paid today, $$1200$ due $18$ months from today, and $$3000$ due $33$ months from today are to be replaced with a single payment due six months from now. Using $6\%$ compounded quarterly as the rate of return money can earn, what payment six months from now would be equivalent to the three scheduled payments?