Finding the Fourth Proportional to 2,645.32, 3,968.64 and 796.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.32 : 3,968.64 = 796.42 : x
2. Step 2: Convert to fraction form
   2,645.32/3,968.64 = 796.42/x
3. Step 3: Cross multiply
   2,645.32x = 3,968.64 × 796.42
4. Step 4: Simplify right side
   2,645.32x = 3,160,704.27
5. Step 5: Solve for x
   x = 3,160,704.27/2,645.32
6. Step 6: Final answer
   x = 1,194.83