Finding the Fourth Proportional to 1,028.82, 1,419.78 and 563.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.82 : 1,419.78 = 563.07 : x
2. Step 2: Convert to fraction form
   1,028.82/1,419.78 = 563.07/x
3. Step 3: Cross multiply
   1,028.82x = 1,419.78 × 563.07
4. Step 4: Simplify right side
   1,028.82x = 799,435.52
5. Step 5: Solve for x
   x = 799,435.52/1,028.82
6. Step 6: Final answer
   x = 777.04