Finding the Fourth Proportional to 2,533.24, 3,496.46 and 1,538.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,533.24 : 3,496.46 = 1,538.30 : x
2. Step 2: Convert to fraction form
   2,533.24/3,496.46 = 1,538.30/x
3. Step 3: Cross multiply
   2,533.24x = 3,496.46 × 1,538.30
4. Step 4: Simplify right side
   2,533.24x = 5,378,605.47
5. Step 5: Solve for x
   x = 5,378,605.47/2,533.24
6. Step 6: Final answer
   x = 2,123.21