Finding the Fourth Proportional to 2,182.80, 3,275.06 and 796.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.80 : 3,275.06 = 796.22 : x
2. Step 2: Convert to fraction form
   2,182.80/3,275.06 = 796.22/x
3. Step 3: Cross multiply
   2,182.80x = 3,275.06 × 796.22
4. Step 4: Simplify right side
   2,182.80x = 2,607,668.27
5. Step 5: Solve for x
   x = 2,607,668.27/2,182.80
6. Step 6: Final answer
   x = 1,194.64