Simulate click on DIV

Simulate click on DIV

I am developing a desktop application in Delphi XE4 using TChromium
component to display Google Voice webpage.
I need to start a call programmatically and I can't find a way to trigger
the javascript code behind the button (it is a DIV) "CONNECT":

TChromium allows to execute javascript code and I already managed to
simulate the click on "CALL" button using a javascript code that simulates
the Key Event using the character "c" which display the panel. This works
because Google Voice has shortcuts and "c" is a valid shortcut to start a
call. Also with javascript I can set the number in the input field. My
main problem is that I don't know how to simulate a click on "CONNECT":

As you can see, there is no ID, no onClick and there is no shortcut to
trigger the Connect button.
I can get a reference to this DIV using the following code:
document.getElementById(":87.mi").children[0].children[0].children[5].children[1].children[0].children[0].children[0].children[1];
But it is not possible to trigger anything appending .click(). I assume it
is because click() will trigger onClick method that it is not defined. Is
there any way to know what javascript code executes when someone clicks
over this div?
If the focus is in the "Number to call" input, I can press "TAB" to
navigate to "Phone to call with", then to "Remember to choice" and finally
to "Connect" where I can press Enter key to make it work also. I tried to
use the same code as in the beginning to simulate the CALL button but this
time with TAB (keycode 9 instead of 67) and it does not work as the focus
does not move.
I tried to do it programmatically with delphi also using mouse_event,
keybd_event, PostKeyExHWND, PostKeyEx32 and PostMessage with no results as
the focus does not move away from "Number to call"
The only option that works by now is to move the mouse with delphi using
SetCursorPos and simulate a click on that button calculating the
coordinates but this will be my last option to choose as I would prefer a
javascript code to do it.
Any suggestions are welcome!