Finding the Fourth Proportional to 1,417.29, 1,955.55 and 827.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,417.29 : 1,955.55 = 827.55 : x
2. Step 2: Convert to fraction form
   1,417.29/1,955.55 = 827.55/x
3. Step 3: Cross multiply
   1,417.29x = 1,955.55 × 827.55
4. Step 4: Simplify right side
   1,417.29x = 1,618,320.29
5. Step 5: Solve for x
   x = 1,618,320.29/1,417.29
6. Step 6: Final answer
   x = 1,141.85