Finding the Fourth Proportional to 1,028.52, 1,419.39 and 586.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.52 : 1,419.39 = 586.35 : x
2. Step 2: Convert to fraction form
   1,028.52/1,419.39 = 586.35/x
3. Step 3: Cross multiply
   1,028.52x = 1,419.39 × 586.35
4. Step 4: Simplify right side
   1,028.52x = 832,259.33
5. Step 5: Solve for x
   x = 832,259.33/1,028.52
6. Step 6: Final answer
   x = 809.18