Download FanConnect0.1 - connects multiple selected verts to one single other vert 


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 invoke
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).