Finding the Fourth Proportional to 1,416.42, 1,954.78 and 827.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.42 : 1,954.78 = 827.15 : x
2. Step 2: Convert to fraction form
   1,416.42/1,954.78 = 827.15/x
3. Step 3: Cross multiply
   1,416.42x = 1,954.78 × 827.15
4. Step 4: Simplify right side
   1,416.42x = 1,616,889.09
5. Step 5: Solve for x
   x = 1,616,889.09/1,416.42
6. Step 6: Final answer
   x = 1,141.53