Finding the Fourth Proportional to 2,533.32, 3,496.25 and 1,414.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.32 : 3,496.25 = 1,414.64 : x
2. Step 2: Convert to fraction form
   2,533.32/3,496.25 = 1,414.64/x
3. Step 3: Cross multiply
   2,533.32x = 3,496.25 × 1,414.64
4. Step 4: Simplify right side
   2,533.32x = 4,945,936.77
5. Step 5: Solve for x
   x = 4,945,936.77/2,533.32
6. Step 6: Final answer
   x = 1,952.35