Finding the Fourth Proportional to 2,471.53, 3,706.69 and 827.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,471.53 : 3,706.69 = 827.65 : x
2. Step 2: Convert to fraction form
   2,471.53/3,706.69 = 827.65/x
3. Step 3: Cross multiply
   2,471.53x = 3,706.69 × 827.65
4. Step 4: Simplify right side
   2,471.53x = 3,067,819.31
5. Step 5: Solve for x
   x = 3,067,819.31/2,471.53
6. Step 6: Final answer
   x = 1,241.27