Finding the Fourth Proportional to 1,419.35, 1,958.31 and 829.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.35 : 1,958.31 = 829.58 : x
2. Step 2: Convert to fraction form
   1,419.35/1,958.31 = 829.58/x
3. Step 3: Cross multiply
   1,419.35x = 1,958.31 × 829.58
4. Step 4: Simplify right side
   1,419.35x = 1,624,565.02
5. Step 5: Solve for x
   x = 1,624,565.02/1,419.35
6. Step 6: Final answer
   x = 1,144.59