Finding the Fourth Proportional to 1,419.20, 1,958.50 and 829.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.20 : 1,958.50 = 829.62 : x
2. Step 2: Convert to fraction form
   1,419.20/1,958.50 = 829.62/x
3. Step 3: Cross multiply
   1,419.20x = 1,958.50 × 829.62
4. Step 4: Simplify right side
   1,419.20x = 1,624,808.63
5. Step 5: Solve for x
   x = 1,624,808.63/1,419.20
6. Step 6: Final answer
   x = 1,144.88