Finding the Fourth Proportional to 1,016.78, 1,524.25 and 468.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.78 : 1,524.25 = 468.68 : x
2. Step 2: Convert to fraction form
   1,016.78/1,524.25 = 468.68/x
3. Step 3: Cross multiply
   1,016.78x = 1,524.25 × 468.68
4. Step 4: Simplify right side
   1,016.78x = 714,385.49
5. Step 5: Solve for x
   x = 714,385.49/1,016.78
6. Step 6: Final answer
   x = 702.60