Finding the Fourth Proportional to 1,419.16, 1,958.42 and 829.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.16 : 1,958.42 = 829.58 : x
2. Step 2: Convert to fraction form
   1,419.16/1,958.42 = 829.58/x
3. Step 3: Cross multiply
   1,419.16x = 1,958.42 × 829.58
4. Step 4: Simplify right side
   1,419.16x = 1,624,665.69
5. Step 5: Solve for x
   x = 1,624,665.69/1,419.16
6. Step 6: Final answer
   x = 1,144.81