Finding the Fourth Proportional to 2,646.04, 3,967.77 and 796.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,646.04 : 3,967.77 = 796.81 : x
2. Step 2: Convert to fraction form
   2,646.04/3,967.77 = 796.81/x
3. Step 3: Cross multiply
   2,646.04x = 3,967.77 × 796.81
4. Step 4: Simplify right side
   2,646.04x = 3,161,558.81
5. Step 5: Solve for x
   x = 3,161,558.81/2,646.04
6. Step 6: Final answer
   x = 1,194.83