It appears that the new book value per share will be $4.84.
Prior to the stock sale, equity was $29.875mm with 2,629,061 shares O/S.
The base issuance was $42mm worth of shares at a price of $3.75, providing net proceeds after expenses of $39.2mm.
With the over-allotment (which is probably in the bag after today's volume) of an additional 1.68mm shares, the total net proceeds will be $45.2mm. This gives us total newly issued shares of 12.88mm, for total shares O/S of 15.509mm.