Finding the Fourth Proportional to 10,257.01, 14,154.27 and 5,781.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.01 : 14,154.27 = 5,781.69 : x
2. Step 2: Convert to fraction form
   10,257.01/14,154.27 = 5,781.69/x
3. Step 3: Cross multiply
   10,257.01x = 14,154.27 × 5,781.69
4. Step 4: Simplify right side
   10,257.01x = 81,835,572.41
5. Step 5: Solve for x
   x = 81,835,572.41/10,257.01
6. Step 6: Final answer
   x = 7,978.50