Finding the Fourth Proportional to 2,116.62, 3,171.78 and 882.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.62 : 3,171.78 = 882.27 : x
2. Step 2: Convert to fraction form
   2,116.62/3,171.78 = 882.27/x
3. Step 3: Cross multiply
   2,116.62x = 3,171.78 × 882.27
4. Step 4: Simplify right side
   2,116.62x = 2,798,366.34
5. Step 5: Solve for x
   x = 2,798,366.34/2,116.62
6. Step 6: Final answer
   x = 1,322.09