Finding the Fourth Proportional to 10,178.88, 14,047.52 and 5,702.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.88 : 14,047.52 = 5,702.48 : x
2. Step 2: Convert to fraction form
   10,178.88/14,047.52 = 5,702.48/x
3. Step 3: Cross multiply
   10,178.88x = 14,047.52 × 5,702.48
4. Step 4: Simplify right side
   10,178.88x = 80,105,701.85
5. Step 5: Solve for x
   x = 80,105,701.85/10,178.88
6. Step 6: Final answer
   x = 7,869.80