How did a low-priority Soviet Navy secure major projects?

Was the Soviet Navy fourth in line behind the strategic forces, army, and air force?

To an extent, yes, but Gorshkov still secured substantial funding for major naval projects.

The navy's position behind the strategic forces, army, and air force is accepted with qualifications. Gorshkov nevertheless secured substantial funding for major naval projects. His ability to work around political obstacles is offered as the explanation for why formal priority did not determine every procurement outcome.