Finding the Fourth Proportional to 10,419.52, 14,378.38 and 5,702.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.52 : 14,378.38 = 5,702.89 : x
2. Step 2: Convert to fraction form
   10,419.52/14,378.38 = 5,702.89/x
3. Step 3: Cross multiply
   10,419.52x = 14,378.38 × 5,702.89
4. Step 4: Simplify right side
   10,419.52x = 81,998,319.52
5. Step 5: Solve for x
   x = 81,998,319.52/10,419.52
6. Step 6: Final answer
   x = 7,869.68