Finding the Fourth Proportional to 1,002.28, 1,382.31 and 842.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.28 : 1,382.31 = 842.14 : x
2. Step 2: Convert to fraction form
   1,002.28/1,382.31 = 842.14/x
3. Step 3: Cross multiply
   1,002.28x = 1,382.31 × 842.14
4. Step 4: Simplify right side
   1,002.28x = 1,164,098.54
5. Step 5: Solve for x
   x = 1,164,098.54/1,002.28
6. Step 6: Final answer
   x = 1,161.45