Finding the Fourth Proportional to 1,416.45, 1,954.83 and 827.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.45 : 1,954.83 = 827.18 : x
2. Step 2: Convert to fraction form
   1,416.45/1,954.83 = 827.18/x
3. Step 3: Cross multiply
   1,416.45x = 1,954.83 × 827.18
4. Step 4: Simplify right side
   1,416.45x = 1,616,996.28
5. Step 5: Solve for x
   x = 1,616,996.28/1,416.45
6. Step 6: Final answer
   x = 1,141.58