Finding the Fourth Proportional to 8,429.76, 12,644.18 and 2,586.37

Step by Step Solution

1. Step 1: Write the proportion equation
   8,429.76 : 12,644.18 = 2,586.37 : x
2. Step 2: Convert to fraction form
   8,429.76/12,644.18 = 2,586.37/x
3. Step 3: Cross multiply
   8,429.76x = 12,644.18 × 2,586.37
4. Step 4: Simplify right side
   8,429.76x = 32,702,527.83
5. Step 5: Solve for x
   x = 32,702,527.83/8,429.76
6. Step 6: Final answer
   x = 3,879.41