Finding the Fourth Proportional to 1,416.43, 1,954.71 and 827.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.43 : 1,954.71 = 827.38 : x
2. Step 2: Convert to fraction form
   1,416.43/1,954.71 = 827.38/x
3. Step 3: Cross multiply
   1,416.43x = 1,954.71 × 827.38
4. Step 4: Simplify right side
   1,416.43x = 1,617,287.96
5. Step 5: Solve for x
   x = 1,617,287.96/1,416.43
6. Step 6: Final answer
   x = 1,141.81