Finding the Fourth Proportional to 2,213.82, 3,320.55 and 827.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,213.82 : 3,320.55 = 827.10 : x
2. Step 2: Convert to fraction form
   2,213.82/3,320.55 = 827.10/x
3. Step 3: Cross multiply
   2,213.82x = 3,320.55 × 827.10
4. Step 4: Simplify right side
   2,213.82x = 2,746,426.91
5. Step 5: Solve for x
   x = 2,746,426.91/2,213.82
6. Step 6: Final answer
   x = 1,240.58