Finding the Fourth Proportional to 2,228.71, 3,078.23 and 1,782.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,228.71 : 3,078.23 = 1,782.12 : x
2. Step 2: Convert to fraction form
   2,228.71/3,078.23 = 1,782.12/x
3. Step 3: Cross multiply
   2,228.71x = 3,078.23 × 1,782.12
4. Step 4: Simplify right side
   2,228.71x = 5,485,777.88
5. Step 5: Solve for x
   x = 5,485,777.88/2,228.71
6. Step 6: Final answer
   x = 2,461.41