Finding the Fourth Proportional to 1,417.43, 1,956.04 and 828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.43 : 1,956.04 = 828.06 : x
2. Step 2: Convert to fraction form
   1,417.43/1,956.04 = 828.06/x
3. Step 3: Cross multiply
   1,417.43x = 1,956.04 × 828.06
4. Step 4: Simplify right side
   1,417.43x = 1,619,718.48
5. Step 5: Solve for x
   x = 1,619,718.48/1,417.43
6. Step 6: Final answer
   x = 1,142.71