Finding the Fourth Proportional to 2,465.38, 3,676.69 and 2,102.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,465.38 : 3,676.69 = 2,102.50 : x
2. Step 2: Convert to fraction form
   2,465.38/3,676.69 = 2,102.50/x
3. Step 3: Cross multiply
   2,465.38x = 3,676.69 × 2,102.50
4. Step 4: Simplify right side
   2,465.38x = 7,730,240.73
5. Step 5: Solve for x
   x = 7,730,240.73/2,465.38
6. Step 6: Final answer
   x = 3,135.52