Aashna, my grafting success rate is not stable and not very high, then I will not in the position to share the how to here..
But you may need to revisit the reason for grafting, usually the main reason for people to perform grafting on their adeniums is to get a better varieties of the adeniums, eg. our current adenium is a basic/common single petalled pink adenium, then we found a good triple petalled orange adeniums cuttings to graft on our existing adenium, so that in the future we will have that triple orange adenium as our collection.
While in your case, you want to graft a broken branch from neighborhood to your adeniums, is that a right decision? why not consider cutting one of your grafted branch ( assume the branch is old enough ) to the suckers ? Then you will have full 4 branches with the same grafted species.
Note: in this case I assume the grafting is a success one.