Finding the Fourth Proportional to 1,022.42, 1,532.52 and 501.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.42 : 1,532.52 = 501.81 : x
2. Step 2: Convert to fraction form
   1,022.42/1,532.52 = 501.81/x
3. Step 3: Cross multiply
   1,022.42x = 1,532.52 × 501.81
4. Step 4: Simplify right side
   1,022.42x = 769,033.86
5. Step 5: Solve for x
   x = 769,033.86/1,022.42
6. Step 6: Final answer
   x = 752.17