Finding the Fourth Proportional to 1,418.72, 1,958.18 and 829.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.72 : 1,958.18 = 829.24 : x
2. Step 2: Convert to fraction form
   1,418.72/1,958.18 = 829.24/x
3. Step 3: Cross multiply
   1,418.72x = 1,958.18 × 829.24
4. Step 4: Simplify right side
   1,418.72x = 1,623,792.14
5. Step 5: Solve for x
   x = 1,623,792.14/1,418.72
6. Step 6: Final answer
   x = 1,144.55