Finding the Fourth Proportional to 1,419.20, 1,957.88 and 829.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.20 : 1,957.88 = 829.48 : x
2. Step 2: Convert to fraction form
   1,419.20/1,957.88 = 829.48/x
3. Step 3: Cross multiply
   1,419.20x = 1,957.88 × 829.48
4. Step 4: Simplify right side
   1,419.20x = 1,624,022.30
5. Step 5: Solve for x
   x = 1,624,022.30/1,419.20
6. Step 6: Final answer
   x = 1,144.32