Finding the Fourth Proportional to 1,196.78, 1,795.98 and 649.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.78 : 1,795.98 = 649.14 : x
2. Step 2: Convert to fraction form
   1,196.78/1,795.98 = 649.14/x
3. Step 3: Cross multiply
   1,196.78x = 1,795.98 × 649.14
4. Step 4: Simplify right side
   1,196.78x = 1,165,842.46
5. Step 5: Solve for x
   x = 1,165,842.46/1,196.78
6. Step 6: Final answer
   x = 974.15