Finding the Fourth Proportional to 5,609.38, 8,414.31 and 2,099.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,609.38 : 8,414.31 = 2,099.06 : x
2. Step 2: Convert to fraction form
   5,609.38/8,414.31 = 2,099.06/x
3. Step 3: Cross multiply
   5,609.38x = 8,414.31 × 2,099.06
4. Step 4: Simplify right side
   5,609.38x = 17,662,141.55
5. Step 5: Solve for x
   x = 17,662,141.55/5,609.38
6. Step 6: Final answer
   x = 3,148.68