Finding the Fourth Proportional to 1,016.94, 1,524.32 and 431.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.94 : 1,524.32 = 431.82 : x
2. Step 2: Convert to fraction form
   1,016.94/1,524.32 = 431.82/x
3. Step 3: Cross multiply
   1,016.94x = 1,524.32 × 431.82
4. Step 4: Simplify right side
   1,016.94x = 658,231.86
5. Step 5: Solve for x
   x = 658,231.86/1,016.94
6. Step 6: Final answer
   x = 647.27