Vertical is usually the Y axis but sometimes Z in the application, what program is this?
It looks like it's using the units in the viewport of the application and doesn't have direct sized properties in the menu you're showing, only the ability to multiply the size. Check the properties to see if it'll let you set the grid to a specific measurement type, I usually set mine to millimeters, but if it'll let you, set it to inches.
It may also help to know that a lot of the OBJ exporters don't factor in real measurements and instead use a basic 'unit' system, which you'll usually have to set the measurement type and size when you import for print.
If you absolutely need help, you can send me the file and I'll export it as an STL or an OBJ with correct measurements.