Finding the Fourth Proportional to 1,419.50, 1,958.61 and 829.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.50 : 1,958.61 = 829.92 : x
2. Step 2: Convert to fraction form
   1,419.50/1,958.61 = 829.92/x
3. Step 3: Cross multiply
   1,419.50x = 1,958.61 × 829.92
4. Step 4: Simplify right side
   1,419.50x = 1,625,492.72
5. Step 5: Solve for x
   x = 1,625,492.72/1,419.50
6. Step 6: Final answer
   x = 1,145.12