Finding the Fourth Proportional to 2,533.50, 3,496.23 and 1,429.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.50 : 3,496.23 = 1,429.50 : x
2. Step 2: Convert to fraction form
   2,533.50/3,496.23 = 1,429.50/x
3. Step 3: Cross multiply
   2,533.50x = 3,496.23 × 1,429.50
4. Step 4: Simplify right side
   2,533.50x = 4,997,860.79
5. Step 5: Solve for x
   x = 4,997,860.79/2,533.50
6. Step 6: Final answer
   x = 1,972.71