Finding the Fourth Proportional to 10,178.78, 14,046.74 and 5,702.55

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.78 : 14,046.74 = 5,702.55 : x
2. Step 2: Convert to fraction form
   10,178.78/14,046.74 = 5,702.55/x
3. Step 3: Cross multiply
   10,178.78x = 14,046.74 × 5,702.55
4. Step 4: Simplify right side
   10,178.78x = 80,102,208.67
5. Step 5: Solve for x
   x = 80,102,208.67/10,178.78
6. Step 6: Final answer
   x = 7,869.53