Finding the Fourth Proportional to 10,257.84, 14,155.56 and 5,781.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.84 : 14,155.56 = 5,781.52 : x
2. Step 2: Convert to fraction form
   10,257.84/14,155.56 = 5,781.52/x
3. Step 3: Cross multiply
   10,257.84x = 14,155.56 × 5,781.52
4. Step 4: Simplify right side
   10,257.84x = 81,840,653.25
5. Step 5: Solve for x
   x = 81,840,653.25/10,257.84
6. Step 6: Final answer
   x = 7,978.35