Finding the Fourth Proportional to 1,418.38, 1,956.60 and 828.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.38 : 1,956.60 = 828.82 : x
2. Step 2: Convert to fraction form
   1,418.38/1,956.60 = 828.82/x
3. Step 3: Cross multiply
   1,418.38x = 1,956.60 × 828.82
4. Step 4: Simplify right side
   1,418.38x = 1,621,669.21
5. Step 5: Solve for x
   x = 1,621,669.21/1,418.38
6. Step 6: Final answer
   x = 1,143.32