Finding the Fourth Proportional to 2,470.48, 3,705.90 and 827.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.48 : 3,705.90 = 827.02 : x
2. Step 2: Convert to fraction form
   2,470.48/3,705.90 = 827.02/x
3. Step 3: Cross multiply
   2,470.48x = 3,705.90 × 827.02
4. Step 4: Simplify right side
   2,470.48x = 3,064,853.42
5. Step 5: Solve for x
   x = 3,064,853.42/2,470.48
6. Step 6: Final answer
   x = 1,240.59