Finding the Fourth Proportional to 2,470.91, 3,706.38 and 827.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,470.91 : 3,706.38 = 827.47 : x
2. Step 2: Convert to fraction form
   2,470.91/3,706.38 = 827.47/x
3. Step 3: Cross multiply
   2,470.91x = 3,706.38 × 827.47
4. Step 4: Simplify right side
   2,470.91x = 3,066,904.37
5. Step 5: Solve for x
   x = 3,066,904.37/2,470.91
6. Step 6: Final answer
   x = 1,241.21