Pistachio just bought a new cracker for $$230,000\mathrm{.}00.$ To pay for the cracker, the company took out a loan that requires Pistachio to pay the bank a special payment of $$56,000\mathrm{.}00$ in $4$ months and also make regular monthly payments forever. The first regular payment is expected in $1$ month and all subsequent regular payments are expected to increase by $0\mathrm{.}12$ percent per month forever. The interest rate on the loan is $1\mathrm{.}20$ percent per month. What is the payment expected to be in $1$ month?

$$1,907\mathrm{.}38($plus or minus $3$ dollars$)$

$$2,484\mathrm{.}00($plus or minus $3$ dollars$)$

$$55,798\mathrm{.}88($plus or minus $3$ dollars$)$

$$2,119\mathrm{.}31($plus or minus $3$ dollars$)$

none of the answers are within $3$ dollars of the correct answer