"it proceeded through" is correct and usable in written English.
You can use it when you want to express the idea of something going in a particular direction, usually forward. For example: "The parade proceeded through the streets, accompanied by loud cheers of the spectators."
I got a good look at the show, all four hours of it, and it proceeded through distinct phases.
It passed by open, cultivated fields and small pockets of residences as it proceeded through rural northwestern Monroe County.
At the northern village line, the amount of development along the route decreased substantially as it proceeded through the town of Trenton as Prospect Road.
It proceeded through Honduras, reorganizing into a tropical storm over the Gulf of Honduras on September 17, but weakened back to a depression upon entering Belize the next day.
The suit was dealt several blows as it proceeded through the courts -- most recently in October, when the U.S. Supreme Court declined to hear arguments on a preliminary injunction that would have allowed foie gras sales to resume right away.
Because for left standards auditory noise was mixed with the signal before stimulus presentation, the random neural activity caused by this noise should remain correlated as it proceeded through various pathways in the brain, although this correlation would attenuate as activity on separate pathways was mixed with endogenous random neural activity.
These data paint a picture of hDHFR as an enzyme that requires minimal conformational rearrangement as it proceeds through its enzymatic cycle.
Overall, the data suggest that, unlike ecDHFR, hDHFR requires minimal backbone conformational rearrangement as it proceeds through its enzymatic cycle, but that ligand flux is brokered by more subtle conformational changes that depend on the side chain motions of critical residues.
It proceeds through northern California's heavily forested logging country and Lassen Volcanic National Park.
It is well paced and well lit, and it proceeds through a processional of galleries that encircle the museum's central atrium, where it begins in pure spectacle.
A new component is added to the partially completed product at each workstation, thus building up the product gradually as it proceeds through the line.
