Finding the Fourth Proportional to 10,702.62, 14,769.81 and 5,986.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,702.62 : 14,769.81 = 5,986.80 : x
2. Step 2: Convert to fraction form
   10,702.62/14,769.81 = 5,986.80/x
3. Step 3: Cross multiply
   10,702.62x = 14,769.81 × 5,986.80
4. Step 4: Simplify right side
   10,702.62x = 88,423,898.51
5. Step 5: Solve for x
   x = 88,423,898.51/10,702.62
6. Step 6: Final answer
   x = 8,261.89