Finding the Fourth Proportional to 2,645.10, 3,967.42 and 796.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.10 : 3,967.42 = 796.64 : x
2. Step 2: Convert to fraction form
   2,645.10/3,967.42 = 796.64/x
3. Step 3: Cross multiply
   2,645.10x = 3,967.42 × 796.64
4. Step 4: Simplify right side
   2,645.10x = 3,160,605.47
5. Step 5: Solve for x
   x = 3,160,605.47/2,645.10
6. Step 6: Final answer
   x = 1,194.89