Finding the Fourth Proportional to 10,257.97, 14,155.59 and 5,782.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.97 : 14,155.59 = 5,782.63 : x
2. Step 2: Convert to fraction form
   10,257.97/14,155.59 = 5,782.63/x
3. Step 3: Cross multiply
   10,257.97x = 14,155.59 × 5,782.63
4. Step 4: Simplify right side
   10,257.97x = 81,856,468.62
5. Step 5: Solve for x
   x = 81,856,468.62/10,257.97
6. Step 6: Final answer
   x = 7,979.80