Finding the Fourth Proportional to 2,648.64, 3,655.10 and 1,469.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,648.64 : 3,655.10 = 1,469.92 : x
2. Step 2: Convert to fraction form
   2,648.64/3,655.10 = 1,469.92/x
3. Step 3: Cross multiply
   2,648.64x = 3,655.10 × 1,469.92
4. Step 4: Simplify right side
   2,648.64x = 5,372,704.59
5. Step 5: Solve for x
   x = 5,372,704.59/2,648.64
6. Step 6: Final answer
   x = 2,028.48