Finding the Fourth Proportional to 10,702.56, 14,770.32 and 5,986.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,702.56 : 14,770.32 = 5,986.80 : x
2. Step 2: Convert to fraction form
   10,702.56/14,770.32 = 5,986.80/x
3. Step 3: Cross multiply
   10,702.56x = 14,770.32 × 5,986.80
4. Step 4: Simplify right side
   10,702.56x = 88,426,951.78
5. Step 5: Solve for x
   x = 88,426,951.78/10,702.56
6. Step 6: Final answer
   x = 8,262.22