Finding the Fourth Proportional to 1,417.96, 1,956.63 and 828.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.96 : 1,956.63 = 828.46 : x
2. Step 2: Convert to fraction form
   1,417.96/1,956.63 = 828.46/x
3. Step 3: Cross multiply
   1,417.96x = 1,956.63 × 828.46
4. Step 4: Simplify right side
   1,417.96x = 1,620,989.69
5. Step 5: Solve for x
   x = 1,620,989.69/1,417.96
6. Step 6: Final answer
   x = 1,143.18