Finding the Fourth Proportional to 2,471.78, 3,707.96 and 827.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.78 : 3,707.96 = 827.96 : x
2. Step 2: Convert to fraction form
   2,471.78/3,707.96 = 827.96/x
3. Step 3: Cross multiply
   2,471.78x = 3,707.96 × 827.96
4. Step 4: Simplify right side
   2,471.78x = 3,070,019.88
5. Step 5: Solve for x
   x = 3,070,019.88/2,471.78
6. Step 6: Final answer
   x = 1,242.03