Finding the Fourth Proportional to 10,255.20, 14,152.47 and 5,778.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255.20 : 14,152.47 = 5,778.71 : x
2. Step 2: Convert to fraction form
   10,255.20/14,152.47 = 5,778.71/x
3. Step 3: Cross multiply
   10,255.20x = 14,152.47 × 5,778.71
4. Step 4: Simplify right side
   10,255.20x = 81,782,949.15
5. Step 5: Solve for x
   x = 81,782,949.15/10,255.20
6. Step 6: Final answer
   x = 7,974.78