Finding the Fourth Proportional to 11,932.94, 16,459.86 and 7,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,932.94 : 16,459.86 = 7,689.50 : x
2. Step 2: Convert to fraction form
   11,932.94/16,459.86 = 7,689.50/x
3. Step 3: Cross multiply
   11,932.94x = 16,459.86 × 7,689.50
4. Step 4: Simplify right side
   11,932.94x = 126,568,093.47
5. Step 5: Solve for x
   x = 126,568,093.47/11,932.94
6. Step 6: Final answer
   x = 10,606.61