Finding the Fourth Proportional to 11,599.86, 16,012.17 and 7,624.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,599.86 : 16,012.17 = 7,624.38 : x
2. Step 2: Convert to fraction form
   11,599.86/16,012.17 = 7,624.38/x
3. Step 3: Cross multiply
   11,599.86x = 16,012.17 × 7,624.38
4. Step 4: Simplify right side
   11,599.86x = 122,082,868.70
5. Step 5: Solve for x
   x = 122,082,868.70/11,599.86
6. Step 6: Final answer
   x = 10,524.51