Finding the Fourth Proportional to 1,196.69, 1,793.10 and 649.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.69 : 1,793.10 = 649.13 : x
2. Step 2: Convert to fraction form
   1,196.69/1,793.10 = 649.13/x
3. Step 3: Cross multiply
   1,196.69x = 1,793.10 × 649.13
4. Step 4: Simplify right side
   1,196.69x = 1,163,946.04
5. Step 5: Solve for x
   x = 1,163,946.04/1,196.69
6. Step 6: Final answer
   x = 972.64