Finding the Fourth Proportional to 2,086.40, 3,122.28 and 1,649

Step by Step Solution

1. Step 1: Write the proportion equation
   2,086.40 : 3,122.28 = 1,649 : x
2. Step 2: Convert to fraction form
   2,086.40/3,122.28 = 1,649/x
3. Step 3: Cross multiply
   2,086.40x = 3,122.28 × 1,649
4. Step 4: Simplify right side
   2,086.40x = 5,148,639.72
5. Step 5: Solve for x
   x = 5,148,639.72/2,086.40
6. Step 6: Final answer
   x = 2,467.71