Finding the Fourth Proportional to 2,586.83, 3,878.82 and 1,026.77

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.83 : 3,878.82 = 1,026.77 : x
2. Step 2: Convert to fraction form
   2,586.83/3,878.82 = 1,026.77/x
3. Step 3: Cross multiply
   2,586.83x = 3,878.82 × 1,026.77
4. Step 4: Simplify right side
   2,586.83x = 3,982,636.62
5. Step 5: Solve for x
   x = 3,982,636.62/2,586.83
6. Step 6: Final answer
   x = 1,539.58