Finding the Fourth Proportional to 2,782.24, 4,174.76 and 1,221.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.24 : 4,174.76 = 1,221.82 : x
2. Step 2: Convert to fraction form
   2,782.24/4,174.76 = 1,221.82/x
3. Step 3: Cross multiply
   2,782.24x = 4,174.76 × 1,221.82
4. Step 4: Simplify right side
   2,782.24x = 5,100,797.88
5. Step 5: Solve for x
   x = 5,100,797.88/2,782.24
6. Step 6: Final answer
   x = 1,833.34