Finding the Fourth Proportional to 1,028.57, 1,419.42 and 562.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.57 : 1,419.42 = 562.82 : x
2. Step 2: Convert to fraction form
   1,028.57/1,419.42 = 562.82/x
3. Step 3: Cross multiply
   1,028.57x = 1,419.42 × 562.82
4. Step 4: Simplify right side
   1,028.57x = 798,868.05
5. Step 5: Solve for x
   x = 798,868.05/1,028.57
6. Step 6: Final answer
   x = 776.68