Finding the Fourth Proportional to 8,581.40, 12,869.82 and 3,648.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,581.40 : 12,869.82 = 3,648.50 : x
2. Step 2: Convert to fraction form
   8,581.40/12,869.82 = 3,648.50/x
3. Step 3: Cross multiply
   8,581.40x = 12,869.82 × 3,648.50
4. Step 4: Simplify right side
   8,581.40x = 46,955,538.27
5. Step 5: Solve for x
   x = 46,955,538.27/8,581.40
6. Step 6: Final answer
   x = 5,471.78