What's the thought process for the solution of this logical riddle?

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Mr. Carter, Mr. Flynn, Mr. Milne, and Mr. Savage serve the little town of Milford as architect, banker, druggist, and grocer, though not necessarily respectively. Each man's income is a whole number of dollars.

The druggist earns exactly twice as much as the grocer, the architect earns exactly twice as much as the druggist, and the banker earns exactly twice as much as the architect.

Although Mr. Carter does not make more moneythan Mr. Flynn, Mr. Flynn does not make twice as much as Mr. Carter. Mr. Savage earns exactly $3776 more than Mr. Milne.

What is each man occupation?

Riddle from 101 Puzzles in Thought and Logic. The book provides the following solution: Carter is the grocer,Flynn the banker, Milne the druggist, and Savage the architect.


UPDATE: My approach, really by trial and error:

Being: G=g, D=2g, A=4g, B=8g

given: C<F ^ F≠2C then: F=4C ∨ F=8C, also as F=4g ∨ F=8g

if C=g and F=8g

given: S-M=3776 then: 4g-2g=3776

so: S=A and M=D

Apologies for the math notation certainly not perfect. If someone has a more 'elegant' way, please add.