Finding the Fourth Proportional to 2,470.08, 3,705.43 and 827.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.08 : 3,705.43 = 827.81 : x
2. Step 2: Convert to fraction form
   2,470.08/3,705.43 = 827.81/x
3. Step 3: Cross multiply
   2,470.08x = 3,705.43 × 827.81
4. Step 4: Simplify right side
   2,470.08x = 3,067,392.01
5. Step 5: Solve for x
   x = 3,067,392.01/2,470.08
6. Step 6: Final answer
   x = 1,241.82