Finding the Fourth Proportional to 2,586.74, 3,877.58 and 1,026.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,586.74 : 3,877.58 = 1,026.22 : x
2. Step 2: Convert to fraction form
   2,586.74/3,877.58 = 1,026.22/x
3. Step 3: Cross multiply
   2,586.74x = 3,877.58 × 1,026.22
4. Step 4: Simplify right side
   2,586.74x = 3,979,250.15
5. Step 5: Solve for x
   x = 3,979,250.15/2,586.74
6. Step 6: Final answer
   x = 1,538.33