EcoMart establishes a $$1,250$ petty cash fund on May $2.$ On May $30,$ the fund shows $$438$ in cash along with receipts for the following expenditures: transportation$-$in$,$ $$128$; postage expenses, $$413$; and miscellaneous expenses, $$280.$ The petty cashier could not account for a $$9$ overage in the fund. The company uses the perpetual system in accounting for merchandise inventory.

Prepare the $(1)$ May $2$ entry to establish the fund, $(2)$ May $30$ entry to reimburse the fund $[$Hint: Credit Cash Over and Short for $$9$ and credit Cash for $$812],$ and $(3)$ June $1$ entry to increase the fund to $$1,440.$