Here are the steps to install a bathroom vent through a wall:

1. Choose an appropriate position for the vent.
2. Take precise measurement of the area.
3. Cut a hole in the drywall that is large enough for the vent to fit through.
4. Insert the vent into the hole and secure it in place with screws or nails.
5. Run the duct from the vent to the location of your bathroom exhaust fan.
6. Connect the duct to the exhaust fan and turn on the fan.
7. Use foil duct tape to secure the connector duct to the wall cap.
8. Slide the wall cap into the duct hole and fix it in place with a silicone adhesive.
9. Use 1.5-inch stainless steel screws to secure the wall cap against the siding firmly.

I hope this helps! Let me know if you have any other questions or if there's anything else I can help you with.

[Here](https://justhomeconcept.com/how-to-vent-a-bathroom-fan-through-the-wall/) is a link to a more detailed tutorial on how to install a bathroom vent through a wall that you might find helpful.