Finding the Fourth Proportional to 1,028.79, 1,419.72 and 563.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.79 : 1,419.72 = 563.04 : x
2. Step 2: Convert to fraction form
   1,028.79/1,419.72 = 563.04/x
3. Step 3: Cross multiply
   1,028.79x = 1,419.72 × 563.04
4. Step 4: Simplify right side
   1,028.79x = 799,359.15
5. Step 5: Solve for x
   x = 799,359.15/1,028.79
6. Step 6: Final answer
   x = 776.99