Finding the Fourth Proportional to 9,711.32, 13,399.61 and 5,677.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,711.32 : 13,399.61 = 5,677.37 : x
2. Step 2: Convert to fraction form
   9,711.32/13,399.61 = 5,677.37/x
3. Step 3: Cross multiply
   9,711.32x = 13,399.61 × 5,677.37
4. Step 4: Simplify right side
   9,711.32x = 76,074,543.83
5. Step 5: Solve for x
   x = 76,074,543.83/9,711.32
6. Step 6: Final answer
   x = 7,833.59