Finding the Fourth Proportional to 1,022.43, 1,531.47 and 475.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.43 : 1,531.47 = 475.05 : x
2. Step 2: Convert to fraction form
   1,022.43/1,531.47 = 475.05/x
3. Step 3: Cross multiply
   1,022.43x = 1,531.47 × 475.05
4. Step 4: Simplify right side
   1,022.43x = 727,524.82
5. Step 5: Solve for x
   x = 727,524.82/1,022.43
6. Step 6: Final answer
   x = 711.56