Finding the Fourth Proportional to 10,482.88, 14,466.41 and 5,702.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,482.88 : 14,466.41 = 5,702.82 : x
2. Step 2: Convert to fraction form
   10,482.88/14,466.41 = 5,702.82/x
3. Step 3: Cross multiply
   10,482.88x = 14,466.41 × 5,702.82
4. Step 4: Simplify right side
   10,482.88x = 82,499,332.28
5. Step 5: Solve for x
   x = 82,499,332.28/10,482.88
6. Step 6: Final answer
   x = 7,869.91