Finding the Fourth Proportional to 2,533.82, 3,496.57 and 1,414.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.82 : 3,496.57 = 1,414.81 : x
2. Step 2: Convert to fraction form
   2,533.82/3,496.57 = 1,414.81/x
3. Step 3: Cross multiply
   2,533.82x = 3,496.57 × 1,414.81
4. Step 4: Simplify right side
   2,533.82x = 4,946,982.20
5. Step 5: Solve for x
   x = 4,946,982.20/2,533.82
6. Step 6: Final answer
   x = 1,952.38