Finding the Fourth Proportional to 1,417.86, 1,956.48 and 828.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.86 : 1,956.48 = 828.24 : x
2. Step 2: Convert to fraction form
   1,417.86/1,956.48 = 828.24/x
3. Step 3: Cross multiply
   1,417.86x = 1,956.48 × 828.24
4. Step 4: Simplify right side
   1,417.86x = 1,620,435.00
5. Step 5: Solve for x
   x = 1,620,435.00/1,417.86
6. Step 6: Final answer
   x = 1,142.87