Finding the Fourth Proportional to 1,417.44, 1,956.72 and 827.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.44 : 1,956.72 = 827.76 : x
2. Step 2: Convert to fraction form
   1,417.44/1,956.72 = 827.76/x
3. Step 3: Cross multiply
   1,417.44x = 1,956.72 × 827.76
4. Step 4: Simplify right side
   1,417.44x = 1,619,694.55
5. Step 5: Solve for x
   x = 1,619,694.55/1,417.44
6. Step 6: Final answer
   x = 1,142.69