Okay, for anyone else who runs across this problem. It was resolved by first installing the chipset driver, then installing the network driver.
I reinstalled Windows 8 (not 8.1) on my Latitude 10, though of course most of the drivers weren't installed since they weren't in the default Windows installation disc, including the Wi-Fi driver. I tried to install it by downloading the driver from the Dell website on another laptop, transferring the driver to a usb, and transferring the driver from the usb to the Latitude 10. Though when the bluetooth part of the driver starts installing, it stops midway and displays "Activate Bluetooth using Wireless Switch". I checked BIOS and Bluetooth is on. Once it starts installing the Wi-Fi part of the driver, it also stops and displays "Error 'Update.cpp 1202' has occured and Setup cannot continue." The driver is called "Network_Driver_4Y0Y8_WN_12.0.0.6300_A06". Please help, I have been having this problem for a month and have called Dell several times with their solutions failing as well (one of the solutions was to switch from Windows 8.1 to Windows 8, which didn't change anything).
Cannot install Wi-Fi Driver - Latitude 10