I'd go with Dana's suggestion of dye. TransTint Golden Brown looks pretty close to what you want, and you can make it as dark as you want by just adding more dye to the finish, a few drops at a time until it matches the color. But being a chair, I'd use a urethane rather than shellac for durability.
My preference would be the original Enduro_Var Gloss which is a clear finish. The new Enduro_Var Two has an amber tint. Mix a small batch adding the dye until the shade is right. Gloss has no particle material to dull the shine so doesn't need to be stirred. When cured, some steel wool will tone down the gloss to your preference.