Finding the Fourth Proportional to 1,419.34, 1,958.70 and 829.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.34 : 1,958.70 = 829.89 : x
2. Step 2: Convert to fraction form
   1,419.34/1,958.70 = 829.89/x
3. Step 3: Cross multiply
   1,419.34x = 1,958.70 × 829.89
4. Step 4: Simplify right side
   1,419.34x = 1,625,505.54
5. Step 5: Solve for x
   x = 1,625,505.54/1,419.34
6. Step 6: Final answer
   x = 1,145.25