Finding the Fourth Proportional to 3,470.56, 5,200.68 and 2,082.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,470.56 : 5,200.68 = 2,082.27 : x
2. Step 2: Convert to fraction form
   3,470.56/5,200.68 = 2,082.27/x
3. Step 3: Cross multiply
   3,470.56x = 5,200.68 × 2,082.27
4. Step 4: Simplify right side
   3,470.56x = 10,829,219.94
5. Step 5: Solve for x
   x = 10,829,219.94/3,470.56
6. Step 6: Final answer
   x = 3,120.31