Finding the Fourth Proportional to 12,696.33, 17,523 and 7,591.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,696.33 : 17,523 = 7,591.50 : x
2. Step 2: Convert to fraction form
   12,696.33/17,523 = 7,591.50/x
3. Step 3: Cross multiply
   12,696.33x = 17,523 × 7,591.50
4. Step 4: Simplify right side
   12,696.33x = 133,025,854.50
5. Step 5: Solve for x
   x = 133,025,854.50/12,696.33
6. Step 6: Final answer
   x = 10,477.50