Robinson's, an electrical supply company, sold $$4,400$ of equipment to Jim Coates Wiring, Incorporated Coates signed a promissory note May $12$ with $4\mathrm{.}4\%$ interest. The due date was August $10.$ Short of funds, Robinson's contacted Capital One Bank on July $20$; the bank agreed to take over the note at a $6\mathrm{.}1\%$ discount. $($Use Days in a year table.$)$

What proceeds will Robinson's receive?

Note: Use $360$ days a year. Do not round intermediate calculations. Round your final answer to the nearest cent.

$$ Proceeds received