Finding the Fourth Proportional to 10,419.02, 14,377.69 and 5,702.39

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.02 : 14,377.69 = 5,702.39 : x
2. Step 2: Convert to fraction form
   10,419.02/14,377.69 = 5,702.39/x
3. Step 3: Cross multiply
   10,419.02x = 14,377.69 × 5,702.39
4. Step 4: Simplify right side
   10,419.02x = 81,987,195.68
5. Step 5: Solve for x
   x = 81,987,195.68/10,419.02
6. Step 6: Final answer
   x = 7,868.99