Finding the Fourth Proportional to 2,024.16, 3,035.78 and 563.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024.16 : 3,035.78 = 563.42 : x
2. Step 2: Convert to fraction form
   2,024.16/3,035.78 = 563.42/x
3. Step 3: Cross multiply
   2,024.16x = 3,035.78 × 563.42
4. Step 4: Simplify right side
   2,024.16x = 1,710,401.17
5. Step 5: Solve for x
   x = 1,710,401.17/2,024.16
6. Step 6: Final answer
   x = 844.99