Finding the Fourth Proportional to 2,142.86, 3,214.42 and 827.21

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.86 : 3,214.42 = 827.21 : x
2. Step 2: Convert to fraction form
   2,142.86/3,214.42 = 827.21/x
3. Step 3: Cross multiply
   2,142.86x = 3,214.42 × 827.21
4. Step 4: Simplify right side
   2,142.86x = 2,659,006.34
5. Step 5: Solve for x
   x = 2,659,006.34/2,142.86
6. Step 6: Final answer
   x = 1,240.87