Finding the Fourth Proportional to 796.05, 1,099.89 and 599.22

Step by Step Solution

1. Step 1: Write the proportion equation
   796.05 : 1,099.89 = 599.22 : x
2. Step 2: Convert to fraction form
   796.05/1,099.89 = 599.22/x
3. Step 3: Cross multiply
   796.05x = 1,099.89 × 599.22
4. Step 4: Simplify right side
   796.05x = 659,076.09
5. Step 5: Solve for x
   x = 659,076.09/796.05
6. Step 6: Final answer
   x = 827.93