This is the 725th most frequent Romanian word.
procesului
"The process" (genitive/dative singular form in Romanian).
"Procesului" is the genitive/dative singular form of "proces" (process), used here to indicate possession (stages belong to the process).
Etapele procesului sunt foarte importante.
The stages of the process are very important.
"Procesului" here indicates the entity (process) being coordinated.
Managerul se ocupă de coordonarea întregului procesului.
The manager is handling the coordination of the entire process.
"Procesului" is in genitive form, used with "finalizare" to express the object of completion (the process).