Finding the Fourth Proportional to 11,677.17, 16,114.50 and 8,325.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.17 : 16,114.50 = 8,325.82 : x
2. Step 2: Convert to fraction form
   11,677.17/16,114.50 = 8,325.82/x
3. Step 3: Cross multiply
   11,677.17x = 16,114.50 × 8,325.82
4. Step 4: Simplify right side
   11,677.17x = 134,166,426.47
5. Step 5: Solve for x
   x = 134,166,426.47/11,677.17
6. Step 6: Final answer
   x = 11,489.64