Finding the Fourth Proportional to 9,294.72, 12,824.64 and 5,569.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,294.72 : 12,824.64 = 5,569.92 : x
2. Step 2: Convert to fraction form
   9,294.72/12,824.64 = 5,569.92/x
3. Step 3: Cross multiply
   9,294.72x = 12,824.64 × 5,569.92
4. Step 4: Simplify right side
   9,294.72x = 71,432,218.83
5. Step 5: Solve for x
   x = 71,432,218.83/9,294.72
6. Step 6: Final answer
   x = 7,685.25