It's good that you've taken the proactive route for your answers, but when you give such answers, the questions will not usually end there. I believe the interviewer is trying to gauge how you would handle situations and datelines at work and also, your experiences in doing it. All these would have been known to the interviewer by how you give your answers. Usually managements would like proactive people, but they would also like to know if you are being transparent and a good communicator and team player to your colleagues and your superior. Thus the more suitable answer for this type of question, in my humble opinion is:

"I would first be transparent about the situation to my superior as to preempt him/her on the possibility of having the report passing a dateline. Then propose to him/her on how you would try to resolve the issue, by i.e. arranging a discussion with the colleague in question, in order to find a solution to the possible obstacle he/she is facing to keep to the given dateline. If things still didn't work out or if the colleague still does not give priority to the data you are requesting, go back to your superior on it for further advice"

Hope the above helps!