Finding the Fourth Proportional to 1,028.52, 1,419.39 and 580.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.52 : 1,419.39 = 580.32 : x
2. Step 2: Convert to fraction form
   1,028.52/1,419.39 = 580.32/x
3. Step 3: Cross multiply
   1,028.52x = 1,419.39 × 580.32
4. Step 4: Simplify right side
   1,028.52x = 823,700.40
5. Step 5: Solve for x
   x = 823,700.40/1,028.52
6. Step 6: Final answer
   x = 800.86