Finding the Fourth Proportional to 1,028.30, 1,419.02 and 562.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.30 : 1,419.02 = 562.55 : x
2. Step 2: Convert to fraction form
   1,028.30/1,419.02 = 562.55/x
3. Step 3: Cross multiply
   1,028.30x = 1,419.02 × 562.55
4. Step 4: Simplify right side
   1,028.30x = 798,262.61
5. Step 5: Solve for x
   x = 798,262.61/1,028.30
6. Step 6: Final answer
   x = 776.30