Finding the Fourth Proportional to 722.82, 1,082.82 and 540.37

Step by Step Solution

1. Step 1: Write the proportion equation
   722.82 : 1,082.82 = 540.37 : x
2. Step 2: Convert to fraction form
   722.82/1,082.82 = 540.37/x
3. Step 3: Cross multiply
   722.82x = 1,082.82 × 540.37
4. Step 4: Simplify right side
   722.82x = 585,123.78
5. Step 5: Solve for x
   x = 585,123.78/722.82
6. Step 6: Final answer
   x = 809.50