Finding the Fourth Proportional to 1,419.10, 1,958.38 and 829.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.10 : 1,958.38 = 829.54 : x
2. Step 2: Convert to fraction form
   1,419.10/1,958.38 = 829.54/x
3. Step 3: Cross multiply
   1,419.10x = 1,958.38 × 829.54
4. Step 4: Simplify right side
   1,419.10x = 1,624,554.55
5. Step 5: Solve for x
   x = 1,624,554.55/1,419.10
6. Step 6: Final answer
   x = 1,144.78