Finding the Fourth Proportional to 10,419.51, 14,378.37 and 5,702.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,419.51 : 14,378.37 = 5,702.88 : x
2. Step 2: Convert to fraction form
   10,419.51/14,378.37 = 5,702.88/x
3. Step 3: Cross multiply
   10,419.51x = 14,378.37 × 5,702.88
4. Step 4: Simplify right side
   10,419.51x = 81,998,118.71
5. Step 5: Solve for x
   x = 81,998,118.71/10,419.51
6. Step 6: Final answer
   x = 7,869.67