Finding the Fourth Proportional to 2,533.63, 3,496.38 and 1,414.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.63 : 3,496.38 = 1,414.50 : x
2. Step 2: Convert to fraction form
   2,533.63/3,496.38 = 1,414.50/x
3. Step 3: Cross multiply
   2,533.63x = 3,496.38 × 1,414.50
4. Step 4: Simplify right side
   2,533.63x = 4,945,629.51
5. Step 5: Solve for x
   x = 4,945,629.51/2,533.63
6. Step 6: Final answer
   x = 1,951.99