Finding the Fourth Proportional to 1,418.80, 1,957.83 and 829.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.80 : 1,957.83 = 829.27 : x
2. Step 2: Convert to fraction form
   1,418.80/1,957.83 = 829.27/x
3. Step 3: Cross multiply
   1,418.80x = 1,957.83 × 829.27
4. Step 4: Simplify right side
   1,418.80x = 1,623,569.68
5. Step 5: Solve for x
   x = 1,623,569.68/1,418.80
6. Step 6: Final answer
   x = 1,144.33