Finding the Fourth Proportional to 1,419.25, 1,958.40 and 829.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.25 : 1,958.40 = 829.78 : x
2. Step 2: Convert to fraction form
   1,419.25/1,958.40 = 829.78/x
3. Step 3: Cross multiply
   1,419.25x = 1,958.40 × 829.78
4. Step 4: Simplify right side
   1,419.25x = 1,625,041.15
5. Step 5: Solve for x
   x = 1,625,041.15/1,419.25
6. Step 6: Final answer
   x = 1,145.00