Finding the Fourth Proportional to 10,417.90, 14,377.04 and 5,702.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,417.90 : 14,377.04 = 5,702.18 : x
2. Step 2: Convert to fraction form
   10,417.90/14,377.04 = 5,702.18/x
3. Step 3: Cross multiply
   10,417.90x = 14,377.04 × 5,702.18
4. Step 4: Simplify right side
   10,417.90x = 81,980,503.88
5. Step 5: Solve for x
   x = 81,980,503.88/10,417.90
6. Step 6: Final answer
   x = 7,869.20