Finding the Fourth Proportional to 2,533.48, 3,496.10 and 1,414.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.48 : 3,496.10 = 1,414.46 : x
2. Step 2: Convert to fraction form
   2,533.48/3,496.10 = 1,414.46/x
3. Step 3: Cross multiply
   2,533.48x = 3,496.10 × 1,414.46
4. Step 4: Simplify right side
   2,533.48x = 4,945,095.27
5. Step 5: Solve for x
   x = 4,945,095.27/2,533.48
6. Step 6: Final answer
   x = 1,951.90