Finding the Fourth Proportional to 11,788.71, 16,264.33 and 7,542.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788.71 : 16,264.33 = 7,542.25 : x
2. Step 2: Convert to fraction form
   11,788.71/16,264.33 = 7,542.25/x
3. Step 3: Cross multiply
   11,788.71x = 16,264.33 × 7,542.25
4. Step 4: Simplify right side
   11,788.71x = 122,669,583.43
5. Step 5: Solve for x
   x = 122,669,583.43/11,788.71
6. Step 6: Final answer
   x = 10,405.69