Finding the Fourth Proportional to 1,061.78, 1,464.24 and 702.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,061.78 : 1,464.24 = 702.24 : x
2. Step 2: Convert to fraction form
   1,061.78/1,464.24 = 702.24/x
3. Step 3: Cross multiply
   1,061.78x = 1,464.24 × 702.24
4. Step 4: Simplify right side
   1,061.78x = 1,028,245.04
5. Step 5: Solve for x
   x = 1,028,245.04/1,061.78
6. Step 6: Final answer
   x = 968.42