Finding the Fourth Proportional to 1,416.98, 1,955.57 and 827.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.98 : 1,955.57 = 827.71 : x
2. Step 2: Convert to fraction form
   1,416.98/1,955.57 = 827.71/x
3. Step 3: Cross multiply
   1,416.98x = 1,955.57 × 827.71
4. Step 4: Simplify right side
   1,416.98x = 1,618,635.82
5. Step 5: Solve for x
   x = 1,618,635.82/1,416.98
6. Step 6: Final answer
   x = 1,142.31