Finding the Fourth Proportional to 1,419.29, 1,958.60 and 829.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.29 : 1,958.60 = 829.71 : x
2. Step 2: Convert to fraction form
   1,419.29/1,958.60 = 829.71/x
3. Step 3: Cross multiply
   1,419.29x = 1,958.60 × 829.71
4. Step 4: Simplify right side
   1,419.29x = 1,625,056.06
5. Step 5: Solve for x
   x = 1,625,056.06/1,419.29
6. Step 6: Final answer
   x = 1,144.98