Multiple signature flow

I need to create a form for a student internship approval that goes to four people in a specific order.The process would be as follows:

1) The student accesses a fillable form from a central location (ideally it would be posted on our e-learning site)

2) The student fills out the form and returns to their academic advisor and the internship supervisor for their signatures.

3) The final signed form is submitted electronically to the program coordinator.

The first 3 people are always different--only the 4th person (program coordinator) remains the same.

We are currently using a fillable pdf form with a signature field, but it doesn't work for people who don't have the latest version of adobe. We want to move to something web based but can't find anything that allows the flow described above.

Is this possible with Adobe Sign and if so how? Any help would be appreciated!

Many thanks!