Finding the Fourth Proportional to 1,014.14, 1,399.17 and 827.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.14 : 1,399.17 = 827.31 : x
2. Step 2: Convert to fraction form
   1,014.14/1,399.17 = 827.31/x
3. Step 3: Cross multiply
   1,014.14x = 1,399.17 × 827.31
4. Step 4: Simplify right side
   1,014.14x = 1,157,547.33
5. Step 5: Solve for x
   x = 1,157,547.33/1,014.14
6. Step 6: Final answer
   x = 1,141.41