Finding the Fourth Proportional to 1,416.90, 1,955.94 and 827.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,416.90 : 1,955.94 = 827.34 : x
2. Step 2: Convert to fraction form
   1,416.90/1,955.94 = 827.34/x
3. Step 3: Cross multiply
   1,416.90x = 1,955.94 × 827.34
4. Step 4: Simplify right side
   1,416.90x = 1,618,227.40
5. Step 5: Solve for x
   x = 1,618,227.40/1,416.90
6. Step 6: Final answer
   x = 1,142.09