Ok now that earlier post makes sense to me (you didn't give the model number). You said it had an A4 3400m ... in reality it has an A4 4300m (quite a big difference lol). So ... the answer to that post is yes, it will most definitely take an A10 4600m but ... the A10 5750 is a slightly better choice.
I guess none of that is too important now that it won't boot. If your battery is good, can you unplug the charger and boot it up from the battery only?
Since you have a multimeter ... can you test the output of your charger? ... unplug the jack at the laptop and test it at that jack. ... just checking mine now (same laptop) ... 18.72V ... the inner pin is the positive.