Finding the Fourth Proportional to 2,470.09, 3,705.56 and 827.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.09 : 3,705.56 = 827.14 : x
2. Step 2: Convert to fraction form
   2,470.09/3,705.56 = 827.14/x
3. Step 3: Cross multiply
   2,470.09x = 3,705.56 × 827.14
4. Step 4: Simplify right side
   2,470.09x = 3,065,016.90
5. Step 5: Solve for x
   x = 3,065,016.90/2,470.09
6. Step 6: Final answer
   x = 1,240.85