Finding the Fourth Proportional to 1,418.96, 1,958.17 and 829.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.96 : 1,958.17 = 829.37 : x
2. Step 2: Convert to fraction form
   1,418.96/1,958.17 = 829.37/x
3. Step 3: Cross multiply
   1,418.96x = 1,958.17 × 829.37
4. Step 4: Simplify right side
   1,418.96x = 1,624,050.27
5. Step 5: Solve for x
   x = 1,624,050.27/1,418.96
6. Step 6: Final answer
   x = 1,144.54