Finding the Fourth Proportional to 10,418.70, 14,377.83 and 5,702.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,418.70 : 14,377.83 = 5,702.96 : x
2. Step 2: Convert to fraction form
   10,418.70/14,377.83 = 5,702.96/x
3. Step 3: Cross multiply
   10,418.70x = 14,377.83 × 5,702.96
4. Step 4: Simplify right side
   10,418.70x = 81,996,189.38
5. Step 5: Solve for x
   x = 81,996,189.38/10,418.70
6. Step 6: Final answer
   x = 7,870.10