Finding the Fourth Proportional to 1,196.84, 1,649.76 and 1,096.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.84 : 1,649.76 = 1,096.40 : x
2. Step 2: Convert to fraction form
   1,196.84/1,649.76 = 1,096.40/x
3. Step 3: Cross multiply
   1,196.84x = 1,649.76 × 1,096.40
4. Step 4: Simplify right side
   1,196.84x = 1,808,796.86
5. Step 5: Solve for x
   x = 1,808,796.86/1,196.84
6. Step 6: Final answer
   x = 1,511.31