**Core Concept**
The deep peroneal nerve is a branch of the common peroneal nerve, which originates from the sciatic nerve. It is responsible for innervating the muscles of the anterior compartment of the leg, including the tibialis anterior, extensor digitorum longus, and extensor hallucis longus. The deep peroneal nerve also provides sensory innervation to the first web space of the foot.

**Why the Correct Answer is Right**
The deep peroneal nerve provides sensory innervation to the skin overlying the first web space of the foot, which is the area between the first and second toes. This is due to the nerve's terminal branches, which form a plexus in the foot and supply the sensation to this specific area. The first web space is a critical area for proprioception and sensory feedback, allowing individuals to maintain balance and perform fine motor movements. The deep peroneal nerve's role in sensory innervation is essential for maintaining the integrity of the foot's sensory function.

**Why Each Wrong Option is Incorrect**
**Option B:** The anterolateral aspect of the leg is primarily innervated by the superficial peroneal nerve, not the deep peroneal nerve. The superficial peroneal nerve provides sensation to the majority of the lateral aspect of the leg and foot.

**Option C:** The fourth web space of the foot is primarily innervated by the sural nerve, which is a branch of the tibial nerve. The sural nerve provides sensation to the lateral aspect of the foot and leg.

**Option D:** The lateral aspect of the foot is primarily innervated by the superficial peroneal nerve, not the deep peroneal nerve. The superficial peroneal nerve provides sensation to the majority of the lateral aspect of the foot.

**Clinical Pearl / High-Yield Fact**
The deep peroneal nerve is often at risk during surgical procedures involving the ankle or foot, particularly when performing procedures such as ankle arthroscopy or tendon repair. Damage to the deep peroneal nerve can result in sensory loss in the first web space, which can impact balance and proprioception.

✓ Correct Answer: A. First web space of foot