Finding the Fourth Proportional to 9,253.20, 12,766.42 and 5,664.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,253.20 : 12,766.42 = 5,664.42 : x
2. Step 2: Convert to fraction form
   9,253.20/12,766.42 = 5,664.42/x
3. Step 3: Cross multiply
   9,253.20x = 12,766.42 × 5,664.42
4. Step 4: Simplify right side
   9,253.20x = 72,314,371.86
5. Step 5: Solve for x
   x = 72,314,371.86/9,253.20
6. Step 6: Final answer
   x = 7,815.06