Finding the Fourth Proportional to 2,782.42, 4,174.79 and 1,221.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.42 : 4,174.79 = 1,221.61 : x
2. Step 2: Convert to fraction form
   2,782.42/4,174.79 = 1,221.61/x
3. Step 3: Cross multiply
   2,782.42x = 4,174.79 × 1,221.61
4. Step 4: Simplify right side
   2,782.42x = 5,099,965.21
5. Step 5: Solve for x
   x = 5,099,965.21/2,782.42
6. Step 6: Final answer
   x = 1,832.92