This script uses the concept of support edges, or the inserting of new edges
parallel to the selected edges.
First go to User Preferences->Addons and enable the FanConnect addon in
the Mesh category.
Go to EditMode, select all verts (including the vert to connect to) and
the addon (button in the Mesh Tool panel).
Now leftclick (this will work with pre-selection highlighting) the single
vert to connect to et voila...
If you wish to hotkey FanConnect:
In the Input section of User Preferences at the bottom of the 3D View >
Mesh section click 'Add New' button.
In the Operator Identifier box put 'mesh.fanconnect'.
Assign a hotkey.
Save as Default (Optional).