Finding the Fourth Proportional to 7,456.78, 10,271.50 and 5,685.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,456.78 : 10,271.50 = 5,685.31 : x
2. Step 2: Convert to fraction form
   7,456.78/10,271.50 = 5,685.31/x
3. Step 3: Cross multiply
   7,456.78x = 10,271.50 × 5,685.31
4. Step 4: Simplify right side
   7,456.78x = 58,396,661.67
5. Step 5: Solve for x
   x = 58,396,661.67/7,456.78
6. Step 6: Final answer
   x = 7,831.35