Finding the Fourth Proportional to 9,223.86, 12,727.46 and 5,688.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,223.86 : 12,727.46 = 5,688.20 : x
2. Step 2: Convert to fraction form
   9,223.86/12,727.46 = 5,688.20/x
3. Step 3: Cross multiply
   9,223.86x = 12,727.46 × 5,688.20
4. Step 4: Simplify right side
   9,223.86x = 72,396,337.97
5. Step 5: Solve for x
   x = 72,396,337.97/9,223.86
6. Step 6: Final answer
   x = 7,848.81