Finding the Fourth Proportional to 8,426.16, 12,641.50 and 2,582.64

Step by Step Solution

1. Step 1: Write the proportion equation
   8,426.16 : 12,641.50 = 2,582.64 : x
2. Step 2: Convert to fraction form
   8,426.16/12,641.50 = 2,582.64/x
3. Step 3: Cross multiply
   8,426.16x = 12,641.50 × 2,582.64
4. Step 4: Simplify right side
   8,426.16x = 32,648,443.56
5. Step 5: Solve for x
   x = 32,648,443.56/8,426.16
6. Step 6: Final answer
   x = 3,874.65