How to move selected row on press of enter key?

Summary:

We have a requirement where on click of the Enter key, the edit mode has to move to the next row of the table. Currently, on click of enter key, the edit mode is moving to the next row but the selected row is still the previous row and it is not moving to the next row.

I have entered the quantity in "Order Qty" Column and clicked on "Enter" , the editing goes to the next row but the selection(blue highlight) is still in the first row.

Content (required):

We have a First-Selected row event on the table which calls an web service to load the details related to the selected row. So, Whenever I click on the enter key , the edit mode is moved to next row but the details of the selected row is not loaded as the selection is not moved to next row.