You construct a price$-$weighted index of $37$ stocks. At the beginning of the day, the index is $7,907\mathrm{.}09.$ During the day, $36$ stock prices remain the same, and $1$ stock price increases $$4\mathrm{.}20.$ At the end of the day, your index value is $7,926\mathrm{.}91.$ What is the divisor on your index?Note: Do not round intermediate calculations. Round your answer to $8$ decimal places.