Finding the Fourth Proportional to 2,533.52, 3,496.56 and 1,648.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.52 : 3,496.56 = 1,648.64 : x
2. Step 2: Convert to fraction form
   2,533.52/3,496.56 = 1,648.64/x
3. Step 3: Cross multiply
   2,533.52x = 3,496.56 × 1,648.64
4. Step 4: Simplify right side
   2,533.52x = 5,764,568.68
5. Step 5: Solve for x
   x = 5,764,568.68/2,533.52
6. Step 6: Final answer
   x = 2,275.32