Finding the Fourth Proportional to 10,178.58, 14,046.27 and 5,702.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.58 : 14,046.27 = 5,702.39 : x
2. Step 2: Convert to fraction form
   10,178.58/14,046.27 = 5,702.39/x
3. Step 3: Cross multiply
   10,178.58x = 14,046.27 × 5,702.39
4. Step 4: Simplify right side
   10,178.58x = 80,097,274.47
5. Step 5: Solve for x
   x = 80,097,274.47/10,178.58
6. Step 6: Final answer
   x = 7,869.20