Finding the Fourth Proportional to 1,419.05, 1,958.00 and 829.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.05 : 1,958.00 = 829.47 : x
2. Step 2: Convert to fraction form
   1,419.05/1,958.00 = 829.47/x
3. Step 3: Cross multiply
   1,419.05x = 1,958.00 × 829.47
4. Step 4: Simplify right side
   1,419.05x = 1,624,098.11
5. Step 5: Solve for x
   x = 1,624,098.11/1,419.05
6. Step 6: Final answer
   x = 1,144.50