Derk owns $690$ shares of stock in Rose Corporation. The remaining $1,610$ shares of Rose are owned as follows: $230$ by Derk's daughter, $460$ by Derk's aunt, and $920$ by a partnership in which Derk has ownership interest of $75\%.$Determine the number of shares Derk owns $($directly and indirectly$)$ in Rose Corporation.Derk is deemed to own $($directly and indirectly$)$ fill in the blank $1$ shares in Rose Corporation.