Finding the Fourth Proportional to 1,417.86, 1,956.69 and 828.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.86 : 1,956.69 = 828.54 : x
2. Step 2: Convert to fraction form
   1,417.86/1,956.69 = 828.54/x
3. Step 3: Cross multiply
   1,417.86x = 1,956.69 × 828.54
4. Step 4: Simplify right side
   1,417.86x = 1,621,195.93
5. Step 5: Solve for x
   x = 1,621,195.93/1,417.86
6. Step 6: Final answer
   x = 1,143.41