Finding the Fourth Proportional to 10,178.21, 14,046.24 and 5,702.09

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.21 : 14,046.24 = 5,702.09 : x
2. Step 2: Convert to fraction form
   10,178.21/14,046.24 = 5,702.09/x
3. Step 3: Cross multiply
   10,178.21x = 14,046.24 × 5,702.09
4. Step 4: Simplify right side
   10,178.21x = 80,092,854.41
5. Step 5: Solve for x
   x = 80,092,854.41/10,178.21
6. Step 6: Final answer
   x = 7,869.05