Finding the Fourth Proportional to 11,657, 17,472.78 and 5,737.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,657 : 17,472.78 = 5,737.96 : x
2. Step 2: Convert to fraction form
   11,657/17,472.78 = 5,737.96/x
3. Step 3: Cross multiply
   11,657x = 17,472.78 × 5,737.96
4. Step 4: Simplify right side
   11,657x = 100,258,112.73
5. Step 5: Solve for x
   x = 100,258,112.73/11,657
6. Step 6: Final answer
   x = 8,600.68