Finding the Fourth Proportional to 1,022.32, 1,532.42 and 473.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.32 : 1,532.42 = 473.50 : x
2. Step 2: Convert to fraction form
   1,022.32/1,532.42 = 473.50/x
3. Step 3: Cross multiply
   1,022.32x = 1,532.42 × 473.50
4. Step 4: Simplify right side
   1,022.32x = 725,593.57
5. Step 5: Solve for x
   x = 725,593.57/1,022.32
6. Step 6: Final answer
   x = 709.75