Finding the Fourth Proportional to 1,042.18, 1,563.32 and 456.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,042.18 : 1,563.32 = 456.89 : x
2. Step 2: Convert to fraction form
   1,042.18/1,563.32 = 456.89/x
3. Step 3: Cross multiply
   1,042.18x = 1,563.32 × 456.89
4. Step 4: Simplify right side
   1,042.18x = 714,258.60
5. Step 5: Solve for x
   x = 714,258.60/1,042.18
6. Step 6: Final answer
   x = 685.35