Finding the Fourth Proportional to 9,989.60, 13,785.17 and 5,737.66

Step by Step Solution

1. Step 1: Write the proportion equation
   9,989.60 : 13,785.17 = 5,737.66 : x
2. Step 2: Convert to fraction form
   9,989.60/13,785.17 = 5,737.66/x
3. Step 3: Cross multiply
   9,989.60x = 13,785.17 × 5,737.66
4. Step 4: Simplify right side
   9,989.60x = 79,094,520.89
5. Step 5: Solve for x
   x = 79,094,520.89/9,989.60
6. Step 6: Final answer
   x = 7,917.69