Finding the Fourth Proportional to 2,586.50, 3,881.25 and 1,026.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.50 : 3,881.25 = 1,026.65 : x
2. Step 2: Convert to fraction form
   2,586.50/3,881.25 = 1,026.65/x
3. Step 3: Cross multiply
   2,586.50x = 3,881.25 × 1,026.65
4. Step 4: Simplify right side
   2,586.50x = 3,984,665.91
5. Step 5: Solve for x
   x = 3,984,665.91/2,586.50
6. Step 6: Final answer
   x = 1,540.57