Finding the Fourth Proportional to 2,609.62, 3,601.29 and 1,414.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,609.62 : 3,601.29 = 1,414.61 : x
2. Step 2: Convert to fraction form
   2,609.62/3,601.29 = 1,414.61/x
3. Step 3: Cross multiply
   2,609.62x = 3,601.29 × 1,414.61
4. Step 4: Simplify right side
   2,609.62x = 5,094,420.85
5. Step 5: Solve for x
   x = 5,094,420.85/2,609.62
6. Step 6: Final answer
   x = 1,952.17