Finding the Fourth Proportional to 2,143.59, 3,215.06 and 827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,143.59 : 3,215.06 = 827.15 : x
2. Step 2: Convert to fraction form
   2,143.59/3,215.06 = 827.15/x
3. Step 3: Cross multiply
   2,143.59x = 3,215.06 × 827.15
4. Step 4: Simplify right side
   2,143.59x = 2,659,341.56
5. Step 5: Solve for x
   x = 2,659,341.56/2,143.59
6. Step 6: Final answer
   x = 1,240.60