Finding the Fourth Proportional to 1,196.16, 1,650.70 and 698.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.16 : 1,650.70 = 698.78 : x
2. Step 2: Convert to fraction form
   1,196.16/1,650.70 = 698.78/x
3. Step 3: Cross multiply
   1,196.16x = 1,650.70 × 698.78
4. Step 4: Simplify right side
   1,196.16x = 1,153,476.15
5. Step 5: Solve for x
   x = 1,153,476.15/1,196.16
6. Step 6: Final answer
   x = 964.32