Finding the Fourth Proportional to 1,418.82, 1,956.45 and 829.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.82 : 1,956.45 = 829.24 : x
2. Step 2: Convert to fraction form
   1,418.82/1,956.45 = 829.24/x
3. Step 3: Cross multiply
   1,418.82x = 1,956.45 × 829.24
4. Step 4: Simplify right side
   1,418.82x = 1,622,364.82
5. Step 5: Solve for x
   x = 1,622,364.82/1,418.82
6. Step 6: Final answer
   x = 1,143.46