Finding the Fourth Proportional to 1,356.40, 1,871.61 and 796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.40 : 1,871.61 = 796.75 : x
2. Step 2: Convert to fraction form
   1,356.40/1,871.61 = 796.75/x
3. Step 3: Cross multiply
   1,356.40x = 1,871.61 × 796.75
4. Step 4: Simplify right side
   1,356.40x = 1,491,205.27
5. Step 5: Solve for x
   x = 1,491,205.27/1,356.40
6. Step 6: Final answer
   x = 1,099.38