Finding the Fourth Proportional to 796.79, 1,099.59 and 465.10

Step by Step Solution

1. Step 1: Write the proportion equation
   796.79 : 1,099.59 = 465.10 : x
2. Step 2: Convert to fraction form
   796.79/1,099.59 = 465.10/x
3. Step 3: Cross multiply
   796.79x = 1,099.59 × 465.10
4. Step 4: Simplify right side
   796.79x = 511,417.43
5. Step 5: Solve for x
   x = 511,417.43/796.79
6. Step 6: Final answer
   x = 641.85