Finding the Fourth Proportional to 11,677.32, 16,114.70 and 7,485.57

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.32 : 16,114.70 = 7,485.57 : x
2. Step 2: Convert to fraction form
   11,677.32/16,114.70 = 7,485.57/x
3. Step 3: Cross multiply
   11,677.32x = 16,114.70 × 7,485.57
4. Step 4: Simplify right side
   11,677.32x = 120,627,714.88
5. Step 5: Solve for x
   x = 120,627,714.88/11,677.32
6. Step 6: Final answer
   x = 10,330.09