Finding the Fourth Proportional to 11,709.88, 16,166.32 and 7,742.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,709.88 : 16,166.32 = 7,742.50 : x
2. Step 2: Convert to fraction form
   11,709.88/16,166.32 = 7,742.50/x
3. Step 3: Cross multiply
   11,709.88x = 16,166.32 × 7,742.50
4. Step 4: Simplify right side
   11,709.88x = 125,167,672.83
5. Step 5: Solve for x
   x = 125,167,672.83/11,709.88
6. Step 6: Final answer
   x = 10,689.07