Finding the Fourth Proportional to 9,731.40, 13,424.42 and 5,695.57

Step by Step Solution

1. Step 1: Write the proportion equation
   9,731.40 : 13,424.42 = 5,695.57 : x
2. Step 2: Convert to fraction form
   9,731.40/13,424.42 = 5,695.57/x
3. Step 3: Cross multiply
   9,731.40x = 13,424.42 × 5,695.57
4. Step 4: Simplify right side
   9,731.40x = 76,459,723.82
5. Step 5: Solve for x
   x = 76,459,723.82/9,731.40
6. Step 6: Final answer
   x = 7,857.01