Finding the Fourth Proportional to 1,196.92, 1,796.28 and 649.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.92 : 1,796.28 = 649.24 : x
2. Step 2: Convert to fraction form
   1,196.92/1,796.28 = 649.24/x
3. Step 3: Cross multiply
   1,196.92x = 1,796.28 × 649.24
4. Step 4: Simplify right side
   1,196.92x = 1,166,216.83
5. Step 5: Solve for x
   x = 1,166,216.83/1,196.92
6. Step 6: Final answer
   x = 974.35