Finding the Fourth Proportional to 2,586.38, 3,881.16 and 1,026.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.38 : 3,881.16 = 1,026.12 : x
2. Step 2: Convert to fraction form
   2,586.38/3,881.16 = 1,026.12/x
3. Step 3: Cross multiply
   2,586.38x = 3,881.16 × 1,026.12
4. Step 4: Simplify right side
   2,586.38x = 3,982,535.90
5. Step 5: Solve for x
   x = 3,982,535.90/2,586.38
6. Step 6: Final answer
   x = 1,539.81