Finding the Fourth Proportional to 1,351.54, 1,864.20 and 827.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,351.54 : 1,864.20 = 827.83 : x
2. Step 2: Convert to fraction form
   1,351.54/1,864.20 = 827.83/x
3. Step 3: Cross multiply
   1,351.54x = 1,864.20 × 827.83
4. Step 4: Simplify right side
   1,351.54x = 1,543,240.69
5. Step 5: Solve for x
   x = 1,543,240.69/1,351.54
6. Step 6: Final answer
   x = 1,141.84