Finding the Fourth Proportional to 10,385.42, 15,565.17 and 5,192.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.42 : 15,565.17 = 5,192.78 : x
2. Step 2: Convert to fraction form
   10,385.42/15,565.17 = 5,192.78/x
3. Step 3: Cross multiply
   10,385.42x = 15,565.17 × 5,192.78
4. Step 4: Simplify right side
   10,385.42x = 80,826,503.47
5. Step 5: Solve for x
   x = 80,826,503.47/10,385.42
6. Step 6: Final answer
   x = 7,782.69