Finding the Fourth Proportional to 1,418.16, 1,956.78 and 828.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,418.16 : 1,956.78 = 828.59 : x
2. Step 2: Convert to fraction form
   1,418.16/1,956.78 = 828.59/x
3. Step 3: Cross multiply
   1,418.16x = 1,956.78 × 828.59
4. Step 4: Simplify right side
   1,418.16x = 1,621,358.56
5. Step 5: Solve for x
   x = 1,621,358.56/1,418.16
6. Step 6: Final answer
   x = 1,143.28