Finding the Fourth Proportional to 795.50, 1,097.78 and 464.15

Step by Step Solution

1. Step 1: Write the proportion equation
   795.50 : 1,097.78 = 464.15 : x
2. Step 2: Convert to fraction form
   795.50/1,097.78 = 464.15/x
3. Step 3: Cross multiply
   795.50x = 1,097.78 × 464.15
4. Step 4: Simplify right side
   795.50x = 509,526.78
5. Step 5: Solve for x
   x = 509,526.78/795.50
6. Step 6: Final answer
   x = 640.52