Finding the Fourth Proportional to 10,257.74, 14,155.50 and 5,781.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.74 : 14,155.50 = 5,781.88 : x
2. Step 2: Convert to fraction form
   10,257.74/14,155.50 = 5,781.88/x
3. Step 3: Cross multiply
   10,257.74x = 14,155.50 × 5,781.88
4. Step 4: Simplify right side
   10,257.74x = 81,845,402.34
5. Step 5: Solve for x
   x = 81,845,402.34/10,257.74
6. Step 6: Final answer
   x = 7,978.89