Finding the Fourth Proportional to 1,419.15, 1,958.96 and 829.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.15 : 1,958.96 = 829.88 : x
2. Step 2: Convert to fraction form
   1,419.15/1,958.96 = 829.88/x
3. Step 3: Cross multiply
   1,419.15x = 1,958.96 × 829.88
4. Step 4: Simplify right side
   1,419.15x = 1,625,687.78
5. Step 5: Solve for x
   x = 1,625,687.78/1,419.15
6. Step 6: Final answer
   x = 1,145.54