Coagulation closes the modern seven-step scheme, and it is the operation that gives the whole sequence its shape by returning what was dissolved to a solid.
What the word describes
Coagulatio means fixing a liquid or a vapour into a stable solid: crystallising out of solution, setting, congealing. The related term congelatio appears in the older lists for much the same operation. It is the counterpart of dissolution, and the two are named together in the most quoted phrase in the literature, solve et coagula, dissolve and coagulate.
That phrase describes a repeated alternation rather than two positions in a line. Reading it as steps two and seven of a fixed sequence loses the sense the sources give it, which is that the operator does this many times.
Where the number seven comes from
The numbered run of seven operations mapped onto the seven planets is a modern arrangement, not a medieval or early modern one. The historical treatises do not agree on a count: Ripley's fifteenth-century Compound of Alchymy sets out twelve gates, congelation among them, and other authors give other lists.
The atlas records the seven-step scheme because it is the version a reader will encounter today, and records here that a primary source will not present the material this way.