Finding the Fourth Proportional to 800.82, 1,105.31 and 520.56

Step by Step Solution

1. Step 1: Write the proportion equation
   800.82 : 1,105.31 = 520.56 : x
2. Step 2: Convert to fraction form
   800.82/1,105.31 = 520.56/x
3. Step 3: Cross multiply
   800.82x = 1,105.31 × 520.56
4. Step 4: Simplify right side
   800.82x = 575,380.17
5. Step 5: Solve for x
   x = 575,380.17/800.82
6. Step 6: Final answer
   x = 718.49