Finding the Fourth Proportional to 2,540.34, 3,829.56 and 2,371.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,540.34 : 3,829.56 = 2,371.00 : x
2. Step 2: Convert to fraction form
   2,540.34/3,829.56 = 2,371.00/x
3. Step 3: Cross multiply
   2,540.34x = 3,829.56 × 2,371.00
4. Step 4: Simplify right side
   2,540.34x = 9,079,889.84
5. Step 5: Solve for x
   x = 9,079,889.84/2,540.34
6. Step 6: Final answer
   x = 3,574.28