Finding the Fourth Proportional to 2,589.81, 3,882.56 and 1,028.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,589.81 : 3,882.56 = 1,028.84 : x
2. Step 2: Convert to fraction form
   2,589.81/3,882.56 = 1,028.84/x
3. Step 3: Cross multiply
   2,589.81x = 3,882.56 × 1,028.84
4. Step 4: Simplify right side
   2,589.81x = 3,994,508.47
5. Step 5: Solve for x
   x = 3,994,508.47/2,589.81
6. Step 6: Final answer
   x = 1,542.39