Finding the Fourth Proportional to 10,178.65, 14,046.72 and 5,702.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.65 : 14,046.72 = 5,702.37 : x
2. Step 2: Convert to fraction form
   10,178.65/14,046.72 = 5,702.37/x
3. Step 3: Cross multiply
   10,178.65x = 14,046.72 × 5,702.37
4. Step 4: Simplify right side
   10,178.65x = 80,099,594.73
5. Step 5: Solve for x
   x = 80,099,594.73/10,178.65
6. Step 6: Final answer
   x = 7,869.37