Finding the Fourth Proportional to 1,417.56, 1,956.24 and 828.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.56 : 1,956.24 = 828.09 : x
2. Step 2: Convert to fraction form
   1,417.56/1,956.24 = 828.09/x
3. Step 3: Cross multiply
   1,417.56x = 1,956.24 × 828.09
4. Step 4: Simplify right side
   1,417.56x = 1,619,942.78
5. Step 5: Solve for x
   x = 1,619,942.78/1,417.56
6. Step 6: Final answer
   x = 1,142.77