Finding the Fourth Proportional to 2,459.10, 3,682.72 and 1,533.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,459.10 : 3,682.72 = 1,533.50 : x
2. Step 2: Convert to fraction form
   2,459.10/3,682.72 = 1,533.50/x
3. Step 3: Cross multiply
   2,459.10x = 3,682.72 × 1,533.50
4. Step 4: Simplify right side
   2,459.10x = 5,647,451.12
5. Step 5: Solve for x
   x = 5,647,451.12/2,459.10
6. Step 6: Final answer
   x = 2,296.55