Problem $3-4($Algo$)$

Here are the data for the past $21$ months for actual sales of a particular product:

LAST YEAR THIS YEAR

January $310265$

February $430365$

March $440390$

April $475400$

May $455432$

June $425370$

July $418380$

August $370295$

September $335385$

October $518$

November $575$

December $500$

Develop a forecast for the fourth quarter using a three$-$quarter, weighted moving average. Weight the most recent quarter $0\mathrm{.}50,$ the second most recent $0\mathrm{.}25,$ and the third $0\mathrm{.}25.$ Solve the problem using quarters, as opposed to forecasting separate months.

Note: Round your answer to $2$ decimal places.