Is this proof / assumption correct? Obtaining T from Q v R -> S, S -> T

Question

I am new to propositional logic / deductive proofs, I have the following:

• Q v R => S
• S => T

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Therefore T

I have tried to use the fact that there is a hypothetical syllogism to obtain Q v R => T

(this is the part where i'm unsure)

Can i assume, Q v R, then assume S, and use the result to apply Modus Ponens to the 2nd premise to obtain T?

1. Q v R => S

2. S => T

3. Q v R (assumption) start of sub proof
4. S (from 1 & 3) modus ponens
5. T (From 2 & 4) modus ponens