Finding the Fourth Proportional to 2,533.54, 3,496.24 and 1,414.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.54 : 3,496.24 = 1,414.60 : x
2. Step 2: Convert to fraction form
   2,533.54/3,496.24 = 1,414.60/x
3. Step 3: Cross multiply
   2,533.54x = 3,496.24 × 1,414.60
4. Step 4: Simplify right side
   2,533.54x = 4,945,781.10
5. Step 5: Solve for x
   x = 4,945,781.10/2,533.54
6. Step 6: Final answer
   x = 1,952.12