A loan of $$$$1320$ taken out on June $7$ requires three payments. The first payment is due on July $7.$ The second payment is twice as large as the first payment and is due on August $20.$ The final$$ payment, due on November $3,$ is three times as large as the first payment. If the focal date is June $7,$ what is the size of each of the three payments at an interest rate of $4\mathrm{.}6\%?$