Finding the Fourth Proportional to 9,233.76, 12,742.12 and 5,697.28

Step by Step Solution

1. Step 1: Write the proportion equation
   9,233.76 : 12,742.12 = 5,697.28 : x
2. Step 2: Convert to fraction form
   9,233.76/12,742.12 = 5,697.28/x
3. Step 3: Cross multiply
   9,233.76x = 12,742.12 × 5,697.28
4. Step 4: Simplify right side
   9,233.76x = 72,595,425.43
5. Step 5: Solve for x
   x = 72,595,425.43/9,233.76
6. Step 6: Final answer
   x = 7,861.96