Finding the Fourth Proportional to 2,470.91, 3,705.62 and 827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.91 : 3,705.62 = 827.15 : x
2. Step 2: Convert to fraction form
   2,470.91/3,705.62 = 827.15/x
3. Step 3: Cross multiply
   2,470.91x = 3,705.62 × 827.15
4. Step 4: Simplify right side
   2,470.91x = 3,065,080.92
5. Step 5: Solve for x
   x = 3,065,080.92/2,470.91
6. Step 6: Final answer
   x = 1,240.47