Finding the Fourth Proportional to 10,255.20, 14,151.64 and 5,778.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255.20 : 14,151.64 = 5,778.84 : x
2. Step 2: Convert to fraction form
   10,255.20/14,151.64 = 5,778.84/x
3. Step 3: Cross multiply
   10,255.20x = 14,151.64 × 5,778.84
4. Step 4: Simplify right side
   10,255.20x = 81,780,063.30
5. Step 5: Solve for x
   x = 81,780,063.30/10,255.20
6. Step 6: Final answer
   x = 7,974.50