Finding the Fourth Proportional to 800.98, 1,105.72 and 565.12

Step by Step Solution

1. Step 1: Write the proportion equation
   800.98 : 1,105.72 = 565.12 : x
2. Step 2: Convert to fraction form
   800.98/1,105.72 = 565.12/x
3. Step 3: Cross multiply
   800.98x = 1,105.72 × 565.12
4. Step 4: Simplify right side
   800.98x = 624,864.49
5. Step 5: Solve for x
   x = 624,864.49/800.98
6. Step 6: Final answer
   x = 780.12