Finding the Fourth Proportional to 2,645.91, 3,967.59 and 796.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.91 : 3,967.59 = 796.68 : x
2. Step 2: Convert to fraction form
   2,645.91/3,967.59 = 796.68/x
3. Step 3: Cross multiply
   2,645.91x = 3,967.59 × 796.68
4. Step 4: Simplify right side
   2,645.91x = 3,160,899.60
5. Step 5: Solve for x
   x = 3,160,899.60/2,645.91
6. Step 6: Final answer
   x = 1,194.64