Finding the Fourth Proportional to 10,586.80, 14,609.89 and 5,806.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.80 : 14,609.89 = 5,806.79 : x
2. Step 2: Convert to fraction form
   10,586.80/14,609.89 = 5,806.79/x
3. Step 3: Cross multiply
   10,586.80x = 14,609.89 × 5,806.79
4. Step 4: Simplify right side
   10,586.80x = 84,836,563.15
5. Step 5: Solve for x
   x = 84,836,563.15/10,586.80
6. Step 6: Final answer
   x = 8,013.43