Halifax Fitness Consulting completed the following petty cash transactions during February $2023$: Feb$\mathrm{.}2$Prepared a $$4,610$ cheque, cashed it$,$ and gave the proceeds and the petty cash box to Nick Reed, the petty cashier. $5$Purchased paper for the copier, $$277.9$Paid $$480$ COD charges on merchandise purchased for resale. Assume Halifax Fitness Consulting uses the perpetual method to account for merchandise inventory. $12$Paid $$220$ postage to express mail a contract to a client. $14$Reimbursed Kim Marin, the manager of the business, $$1,908$ for business auto expenses. $20$Purchased stationery, $$843.23$Paid a courier $$14$ to deliver merchandise sold to a customer. $25$Paid $$23$ COD charges on merchandise purchased for resale. $28$Paid $$28$ for stamps. $28$Reed sorted the petty cash receipts by accounts affected and exchanged them for a cheque to reimburse the fund for expenditures. However, there was only $$13$ in cash in the fund. In addition, the size of the petty cash fund was increased to $$11,000.$Required:$1.$ Prepare a journal entry to record establishing the petty cash fund.