Finding the Fourth Proportional to 1,417.86, 1,956.78 and 828.36

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.86 : 1,956.78 = 828.36 : x
2. Step 2: Convert to fraction form
   1,417.86/1,956.78 = 828.36/x
3. Step 3: Cross multiply
   1,417.86x = 1,956.78 × 828.36
4. Step 4: Simplify right side
   1,417.86x = 1,620,918.28
5. Step 5: Solve for x
   x = 1,620,918.28/1,417.86
6. Step 6: Final answer
   x = 1,143.21