Finding the Fourth Proportional to 1,418.86, 1,958.16 and 829.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.86 : 1,958.16 = 829.36 : x
2. Step 2: Convert to fraction form
   1,418.86/1,958.16 = 829.36/x
3. Step 3: Cross multiply
   1,418.86x = 1,958.16 × 829.36
4. Step 4: Simplify right side
   1,418.86x = 1,624,019.58
5. Step 5: Solve for x
   x = 1,624,019.58/1,418.86
6. Step 6: Final answer
   x = 1,144.59