A loan of $$$$1465$ taken out on June $7$ requires three payments. The first payment is due on July $7.$ The second payment is twice as large as the first payment and is due on August $19.$ The final$$ payment, due on November $2,$ 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 $4\mathrm{.}6\%?$

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Part $1$

The first payment is $$$

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enter your response here$,$ the second payment is $$$

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enter your response here$,$ and the third payment is $$$

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enter your response here.

$($Round the final answers to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$