Finding the Fourth Proportional to 1,419.41, 1,958.07 and 829.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.41 : 1,958.07 = 829.56 : x
2. Step 2: Convert to fraction form
   1,419.41/1,958.07 = 829.56/x
3. Step 3: Cross multiply
   1,419.41x = 1,958.07 × 829.56
4. Step 4: Simplify right side
   1,419.41x = 1,624,336.55
5. Step 5: Solve for x
   x = 1,624,336.55/1,419.41
6. Step 6: Final answer
   x = 1,144.37