Finding the Fourth Proportional to 2,586.56, 3,879.81 and 1,026.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.56 : 3,879.81 = 1,026.50 : x
2. Step 2: Convert to fraction form
   2,586.56/3,879.81 = 1,026.50/x
3. Step 3: Cross multiply
   2,586.56x = 3,879.81 × 1,026.50
4. Step 4: Simplify right side
   2,586.56x = 3,982,605.57
5. Step 5: Solve for x
   x = 3,982,605.57/2,586.56
6. Step 6: Final answer
   x = 1,539.73