Finding the Fourth Proportional to 2,533.75, 3,496.55 and 1,414.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.75 : 3,496.55 = 1,414.62 : x
2. Step 2: Convert to fraction form
   2,533.75/3,496.55 = 1,414.62/x
3. Step 3: Cross multiply
   2,533.75x = 3,496.55 × 1,414.62
4. Step 4: Simplify right side
   2,533.75x = 4,946,289.56
5. Step 5: Solve for x
   x = 4,946,289.56/2,533.75
6. Step 6: Final answer
   x = 1,952.16