Step 1: List what each rachitic cause should do to the labs.
Distal RTA: low bicarbonate (acidosis), variable calcium and phosphate.
Proximal RTA: low bicarbonate (acidosis), often with glucosuria and other Fanconi features.
Vitamin D dependent rickets: low calcium, high PTH (secondary hyperparathyroidism), variable phosphate.
Hypophosphatemic rickets: normal calcium, low phosphate, normal PTH, normal bicarbonate.
Step 2: Compare this list against the given child.
The child has calcium $9$ mg/dl (normal), phosphate $2.4$ mg/dl (low), alkaline phosphatase $1040$ IU (high), PTH normal, bicarbonate normal.
Step 3: Match line by line.
Bicarbonate being normal removes both RTA types, since acidosis is their hallmark. Calcium being normal, not low, and PTH being normal, not raised, removes vitamin D dependent rickets, since that condition runs on hypocalcemia driving up PTH.
Step 4: Confirm the fit.
Only the hypophosphatemic rickets row matches every value: normal calcium, low phosphate, normal PTH, normal bicarbonate, with a raised alkaline phosphatase from active bone disease.
Step 5: State the answer.
The most probable diagnosis is Hypophosphatemic Rickets.
\[ \boxed{\text{Hypophosphatemic Rickets}} \]