Finding the Fourth Proportional to 10,178.64, 14,046.76 and 5,702.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,178.64 : 14,046.76 = 5,702.18 : x
2. Step 2: Convert to fraction form
   10,178.64/14,046.76 = 5,702.18/x
3. Step 3: Cross multiply
   10,178.64x = 14,046.76 × 5,702.18
4. Step 4: Simplify right side
   10,178.64x = 80,097,153.94
5. Step 5: Solve for x
   x = 80,097,153.94/10,178.64
6. Step 6: Final answer
   x = 7,869.14