Final answer:
Mr. Dale's potential recognized capital gain from selling 4,537 shares for $16 per share, based solely on his initial investment, would be $26,992. This figure disregards any adjustments from reinvested dividends due to incomplete data.
Step-by-step explanation:
To compute the recognized gain on the sale of shares, we first need to know the original cost of purchasing the shares (cost basis) and the price for which the shares were sold. Mr. Dale initially purchased 3,800 shares of GKL Mutual Fund for $45,600. If he sells his 4,537 shares for $16 per share, the total sale proceeds would be 4,537 shares multiplied by $16 per share, equating to $72,592.
The recognized capital gain is the difference between the sale proceeds and the cost basis. However, since the question does not provide all details regarding reinvested dividends, and how they altered the cost basis, we use just the information given: the initial investment. The capital gain in this simplified scenario would be $72,592 (sale proceeds) minus $45,600 (original cost) which equals $26,992. This is the amount Mr. Dale would potentially recognize as a capital gain from the sale of the shares, ignoring the additional shares purchased with reinvested dividends.
It is important to note that for the exact capital gain calculation, one would need to consider the adjusted cost basis taking into account the reinvested dividends, which are not specified in the provided data.