Finding the Fourth Proportional to 1,028.84, 1,419.82 and 563.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.84 : 1,419.82 = 563.10 : x
2. Step 2: Convert to fraction form
   1,028.84/1,419.82 = 563.10/x
3. Step 3: Cross multiply
   1,028.84x = 1,419.82 × 563.10
4. Step 4: Simplify right side
   1,028.84x = 799,500.64
5. Step 5: Solve for x
   x = 799,500.64/1,028.84
6. Step 6: Final answer
   x = 777.09