Finding the Fourth Proportional to 2,586.80, 3,877.69 and 1,026.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.80 : 3,877.69 = 1,026.29 : x
2. Step 2: Convert to fraction form
   2,586.80/3,877.69 = 1,026.29/x
3. Step 3: Cross multiply
   2,586.80x = 3,877.69 × 1,026.29
4. Step 4: Simplify right side
   2,586.80x = 3,979,612.52
5. Step 5: Solve for x
   x = 3,979,612.52/2,586.80
6. Step 6: Final answer
   x = 1,538.43