Finding the Fourth Proportional to 10,255.30, 14,152.02 and 5,778.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255.30 : 14,152.02 = 5,778.97 : x
2. Step 2: Convert to fraction form
   10,255.30/14,152.02 = 5,778.97/x
3. Step 3: Cross multiply
   10,255.30x = 14,152.02 × 5,778.97
4. Step 4: Simplify right side
   10,255.30x = 81,784,099.02
5. Step 5: Solve for x
   x = 81,784,099.02/10,255.30
6. Step 6: Final answer
   x = 7,974.81