Congratulations! You just bought a new car. You didn't have enough cash to pay for the whole thing right now, so you decided to finance the purchase and get a car loan. You will be making payments of $$567\mathrm{.}02$ at the end of every month for $4$ years. The rate of interest is $5\mathrm{.}3\%$ compounded annually. Determine the original purchase price of the car