Finding the Fourth Proportional to 1,028.90, 1,419.89 and 586.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.90 : 1,419.89 = 586.82 : x
2. Step 2: Convert to fraction form
   1,028.90/1,419.89 = 586.82/x
3. Step 3: Cross multiply
   1,028.90x = 1,419.89 × 586.82
4. Step 4: Simplify right side
   1,028.90x = 833,219.85
5. Step 5: Solve for x
   x = 833,219.85/1,028.90
6. Step 6: Final answer
   x = 809.82