Finding the Fourth Proportional to 1,359.27, 1,876.28 and 827.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.27 : 1,876.28 = 827.91 : x
2. Step 2: Convert to fraction form
   1,359.27/1,876.28 = 827.91/x
3. Step 3: Cross multiply
   1,359.27x = 1,876.28 × 827.91
4. Step 4: Simplify right side
   1,359.27x = 1,553,386.84
5. Step 5: Solve for x
   x = 1,553,386.84/1,359.27
6. Step 6: Final answer
   x = 1,142.81