Create the Invoice in your Vendor Account and add an item to the details. Click on Item and press F11 which will display a Setup Columns table.
Click on the value next to Pick Root and press F3 which will display a Select Pick Root window. Right mouse click on the white background of this Select Pick Root window and click File > Sort. Choose Interactive. You will notice that the select pick root window display changes. Plus on NewViews > Account > Expense and click on 7110. This will place this in the Pick Root Path.
Click back on the Setup Columns window and then the details window. Press F5 to commit the change you have made.
Now, if you press F3 under Item, the account 7110 will appear in the Select Charge Account.