Finding the Fourth Proportional to 796.77, 1,099.75 and 460.72

Step by Step Solution

1. Step 1: Write the proportion equation
   796.77 : 1,099.75 = 460.72 : x
2. Step 2: Convert to fraction form
   796.77/1,099.75 = 460.72/x
3. Step 3: Cross multiply
   796.77x = 1,099.75 × 460.72
4. Step 4: Simplify right side
   796.77x = 506,676.82
5. Step 5: Solve for x
   x = 506,676.82/796.77
6. Step 6: Final answer
   x = 635.91