Finding the Fourth Proportional to 2,645.78, 3,967.38 and 796.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.78 : 3,967.38 = 796.40 : x
2. Step 2: Convert to fraction form
   2,645.78/3,967.38 = 796.40/x
3. Step 3: Cross multiply
   2,645.78x = 3,967.38 × 796.40
4. Step 4: Simplify right side
   2,645.78x = 3,159,621.43
5. Step 5: Solve for x
   x = 3,159,621.43/2,645.78
6. Step 6: Final answer
   x = 1,194.21