Finding the Fourth Proportional to 2,540.69, 3,801.50 and 2,102.15

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.69 : 3,801.50 = 2,102.15 : x
2. Step 2: Convert to fraction form
   2,540.69/3,801.50 = 2,102.15/x
3. Step 3: Cross multiply
   2,540.69x = 3,801.50 × 2,102.15
4. Step 4: Simplify right side
   2,540.69x = 7,991,298.96
5. Step 5: Solve for x
   x = 7,991,298.96/2,540.69
6. Step 6: Final answer
   x = 3,145.33