Finding the Fourth Proportional to 1,017.05, 1,524.49 and 468.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,017.05 : 1,524.49 = 468.78 : x
2. Step 2: Convert to fraction form
   1,017.05/1,524.49 = 468.78/x
3. Step 3: Cross multiply
   1,017.05x = 1,524.49 × 468.78
4. Step 4: Simplify right side
   1,017.05x = 714,650.42
5. Step 5: Solve for x
   x = 714,650.42/1,017.05
6. Step 6: Final answer
   x = 702.67