Finding the Fourth Proportional to 1,417.76, 1,956.82 and 828.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.76 : 1,956.82 = 828.38 : x
2. Step 2: Convert to fraction form
   1,417.76/1,956.82 = 828.38/x
3. Step 3: Cross multiply
   1,417.76x = 1,956.82 × 828.38
4. Step 4: Simplify right side
   1,417.76x = 1,620,993.37
5. Step 5: Solve for x
   x = 1,620,993.37/1,417.76
6. Step 6: Final answer
   x = 1,143.35