I need more space at for my Ubuntu partition, so I will need to shrink the Data partition and extend the size of the ext4, right? This is the current state of the partitions:

What is the proper way to achieve this?
Using windows to shrink the Data partition? (An unrelated partition to windows, though).
And then, with an ubuntu live cd, using gparted, extending the size of the ext4 partition to the unallocated space?

Update-1:

The state I posted above, was from my laptop. I tried the resizing process at my Desktop and at the step grow filesystem to fill the partition > real resize it failed and here are the details (also, on pastebin).

What can I do?

Update-2:
At Gparted, it seems that the process completed successfully. The unallocated space, is the one I've set before the partition shrink process. So, I can assume that everything went good?
Also, if you see, at the bottom of the message, it was asking me to reply Y/n but I don't think I could do that via gParted (and not using a terminal).
This is the current state from gParted via Ubuntu Live CD.