Finding the Fourth Proportional to 2,378.24, 3,274.56 and 2,081.72

Step by Step Solution

1. Step 1: Write the proportion equation
   2,378.24 : 3,274.56 = 2,081.72 : x
2. Step 2: Convert to fraction form
   2,378.24/3,274.56 = 2,081.72/x
3. Step 3: Cross multiply
   2,378.24x = 3,274.56 × 2,081.72
4. Step 4: Simplify right side
   2,378.24x = 6,816,717.04
5. Step 5: Solve for x
   x = 6,816,717.04/2,378.24
6. Step 6: Final answer
   x = 2,866.29