Finding the Fourth Proportional to 10,257.75, 14,156.82 and 5,782.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257.75 : 14,156.82 = 5,782.59 : x
2. Step 2: Convert to fraction form
   10,257.75/14,156.82 = 5,782.59/x
3. Step 3: Cross multiply
   10,257.75x = 14,156.82 × 5,782.59
4. Step 4: Simplify right side
   10,257.75x = 81,863,085.76
5. Step 5: Solve for x
   x = 81,863,085.76/10,257.75
6. Step 6: Final answer
   x = 7,980.61