Finding the Fourth Proportional to 2,429.40, 3,637.86 and 1,648.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,429.40 : 3,637.86 = 1,648.20 : x
2. Step 2: Convert to fraction form
   2,429.40/3,637.86 = 1,648.20/x
3. Step 3: Cross multiply
   2,429.40x = 3,637.86 × 1,648.20
4. Step 4: Simplify right side
   2,429.40x = 5,995,920.85
5. Step 5: Solve for x
   x = 5,995,920.85/2,429.40
6. Step 6: Final answer
   x = 2,468.07