Step 1: Establish the initial context.
Sentence (ii) establishes the scene: the presence of unfamiliar voices and a closed door indicates a natural starting point.
Step 2: Determine the subsequent action.
Sentence (i) depicts the narrator's hesitation and decision not to knock, logically following the observation of the closed door.
Step 3: Identify the narrator's choice.
Sentence (iv) describes the narrator's decision to explore further down the passage.
Step 4: Conclude with the outcome.
Sentence (iii) presents the resolution: the passage leads to a brightly lit kitchen, serving as the logical conclusion. Therefore, the correct ordered sequence is: \[(ii) \;\rightarrow\; (i) \;\rightarrow\; (iv) \;\rightarrow\; (iii)\] \[\boxed{\text{(C)}}\]