Finding the Fourth Proportional to 2,139.31, 3,206.77 and 1,027.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,139.31 : 3,206.77 = 1,027.10 : x
2. Step 2: Convert to fraction form
   2,139.31/3,206.77 = 1,027.10/x
3. Step 3: Cross multiply
   2,139.31x = 3,206.77 × 1,027.10
4. Step 4: Simplify right side
   2,139.31x = 3,293,673.47
5. Step 5: Solve for x
   x = 3,293,673.47/2,139.31
6. Step 6: Final answer
   x = 1,539.60