Finding the Fourth Proportional to 1,417.50, 1,956.15 and 827.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.50 : 1,956.15 = 827.82 : x
2. Step 2: Convert to fraction form
   1,417.50/1,956.15 = 827.82/x
3. Step 3: Cross multiply
   1,417.50x = 1,956.15 × 827.82
4. Step 4: Simplify right side
   1,417.50x = 1,619,340.09
5. Step 5: Solve for x
   x = 1,619,340.09/1,417.50
6. Step 6: Final answer
   x = 1,142.39