Finding the Fourth Proportional to 1,426.21, 1,968.24 and 796.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,426.21 : 1,968.24 = 796.75 : x
2. Step 2: Convert to fraction form
   1,426.21/1,968.24 = 796.75/x
3. Step 3: Cross multiply
   1,426.21x = 1,968.24 × 796.75
4. Step 4: Simplify right side
   1,426.21x = 1,568,195.22
5. Step 5: Solve for x
   x = 1,568,195.22/1,426.21
6. Step 6: Final answer
   x = 1,099.55