Finding the Fourth Proportional to 796.37, 1,099.71 and 599.54

Step by Step Solution

1. Step 1: Write the proportion equation
   796.37 : 1,099.71 = 599.54 : x
2. Step 2: Convert to fraction form
   796.37/1,099.71 = 599.54/x
3. Step 3: Cross multiply
   796.37x = 1,099.71 × 599.54
4. Step 4: Simplify right side
   796.37x = 659,314.63
5. Step 5: Solve for x
   x = 659,314.63/796.37
6. Step 6: Final answer
   x = 827.91