First, find your iCal feed URL in Spectora under Settings->User Settings->Integrations:
This is the URL you will need later:
Next, on your iOS device, open up Settings and find "Password and Accounts". Hit "Add New Account":
Select "Other" on the very bottom:
Hit "Add Subscribed Calendar":
Enter in the URL we grabbed earlier here:
After that, you can choose your own "Description" and leave the rest of the fields at the default value.
You'll see your inspections show up in your calendar now!