Finding the Fourth Proportional to 1,419.33, 1,958.69 and 829.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.33 : 1,958.69 = 829.75 : x
2. Step 2: Convert to fraction form
   1,419.33/1,958.69 = 829.75/x
3. Step 3: Cross multiply
   1,419.33x = 1,958.69 × 829.75
4. Step 4: Simplify right side
   1,419.33x = 1,625,223.03
5. Step 5: Solve for x
   x = 1,625,223.03/1,419.33
6. Step 6: Final answer
   x = 1,145.06