Finding the Fourth Proportional to 2,464.38, 3,675.20 and 2,101.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,464.38 : 3,675.20 = 2,101.50 : x
2. Step 2: Convert to fraction form
   2,464.38/3,675.20 = 2,101.50/x
3. Step 3: Cross multiply
   2,464.38x = 3,675.20 × 2,101.50
4. Step 4: Simplify right side
   2,464.38x = 7,723,422.29
5. Step 5: Solve for x
   x = 7,723,422.29/2,464.38
6. Step 6: Final answer
   x = 3,134.02