Finding the Fourth Proportional to 1,417.42, 1,956.16 and 828.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.42 : 1,956.16 = 828.15 : x
2. Step 2: Convert to fraction form
   1,417.42/1,956.16 = 828.15/x
3. Step 3: Cross multiply
   1,417.42x = 1,956.16 × 828.15
4. Step 4: Simplify right side
   1,417.42x = 1,619,993.90
5. Step 5: Solve for x
   x = 1,619,993.90/1,417.42
6. Step 6: Final answer
   x = 1,142.92