Finding the Fourth Proportional to 10,418.77, 14,377.34 and 5,702.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,418.77 : 14,377.34 = 5,702.14 : x
2. Step 2: Convert to fraction form
   10,418.77/14,377.34 = 5,702.14/x
3. Step 3: Cross multiply
   10,418.77x = 14,377.34 × 5,702.14
4. Step 4: Simplify right side
   10,418.77x = 81,981,605.51
5. Step 5: Solve for x
   x = 81,981,605.51/10,418.77
6. Step 6: Final answer
   x = 7,868.65