Finding the Fourth Proportional to 1,418.72, 1,957.83 and 829.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.72 : 1,957.83 = 829.29 : x
2. Step 2: Convert to fraction form
   1,418.72/1,957.83 = 829.29/x
3. Step 3: Cross multiply
   1,418.72x = 1,957.83 × 829.29
4. Step 4: Simplify right side
   1,418.72x = 1,623,608.84
5. Step 5: Solve for x
   x = 1,623,608.84/1,418.72
6. Step 6: Final answer
   x = 1,144.42