Finding the Fourth Proportional to 2,533.80, 3,496.30 and 1,414.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.80 : 3,496.30 = 1,414.58 : x
2. Step 2: Convert to fraction form
   2,533.80/3,496.30 = 1,414.58/x
3. Step 3: Cross multiply
   2,533.80x = 3,496.30 × 1,414.58
4. Step 4: Simplify right side
   2,533.80x = 4,945,796.05
5. Step 5: Solve for x
   x = 4,945,796.05/2,533.80
6. Step 6: Final answer
   x = 1,951.93