Finding the Fourth Proportional to 1,028.59, 1,419.45 and 586.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.59 : 1,419.45 = 586.49 : x
2. Step 2: Convert to fraction form
   1,028.59/1,419.45 = 586.49/x
3. Step 3: Cross multiply
   1,028.59x = 1,419.45 × 586.49
4. Step 4: Simplify right side
   1,028.59x = 832,500.75
5. Step 5: Solve for x
   x = 832,500.75/1,028.59
6. Step 6: Final answer
   x = 809.36