Finding the Fourth Proportional to 1,016.67, 1,524.27 and 431.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.67 : 1,524.27 = 431.35 : x
2. Step 2: Convert to fraction form
   1,016.67/1,524.27 = 431.35/x
3. Step 3: Cross multiply
   1,016.67x = 1,524.27 × 431.35
4. Step 4: Simplify right side
   1,016.67x = 657,491.67
5. Step 5: Solve for x
   x = 657,491.67/1,016.67
6. Step 6: Final answer
   x = 646.71