Finding the Fourth Proportional to 2,782.53, 3,834.72 and 2,282.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.53 : 3,834.72 = 2,282.27 : x
2. Step 2: Convert to fraction form
   2,782.53/3,834.72 = 2,282.27/x
3. Step 3: Cross multiply
   2,782.53x = 3,834.72 × 2,282.27
4. Step 4: Simplify right side
   2,782.53x = 8,751,847.24
5. Step 5: Solve for x
   x = 8,751,847.24/2,782.53
6. Step 6: Final answer
   x = 3,145.28