Finding the Fourth Proportional to 1,028.81, 1,419.76 and 563.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.81 : 1,419.76 = 563.06 : x
2. Step 2: Convert to fraction form
   1,028.81/1,419.76 = 563.06/x
3. Step 3: Cross multiply
   1,028.81x = 1,419.76 × 563.06
4. Step 4: Simplify right side
   1,028.81x = 799,414.32
5. Step 5: Solve for x
   x = 799,414.32/1,028.81
6. Step 6: Final answer
   x = 777.03