Finding the Fourth Proportional to 2,182.74, 3,274.98 and 796.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.74 : 3,274.98 = 796.17 : x
2. Step 2: Convert to fraction form
   2,182.74/3,274.98 = 796.17/x
3. Step 3: Cross multiply
   2,182.74x = 3,274.98 × 796.17
4. Step 4: Simplify right side
   2,182.74x = 2,607,440.83
5. Step 5: Solve for x
   x = 2,607,440.83/2,182.74
6. Step 6: Final answer
   x = 1,194.57