Finding the Fourth Proportional to 1,028.82, 1,419.79 and 563.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.82 : 1,419.79 = 563.06 : x
2. Step 2: Convert to fraction form
   1,028.82/1,419.79 = 563.06/x
3. Step 3: Cross multiply
   1,028.82x = 1,419.79 × 563.06
4. Step 4: Simplify right side
   1,028.82x = 799,426.96
5. Step 5: Solve for x
   x = 799,426.96/1,028.82
6. Step 6: Final answer
   x = 777.03