Finding the Fourth Proportional to 3,627.41, 5,005.78 and 2,034.21

Step by Step Solution

1. Step 1: Write the proportion equation
   3,627.41 : 5,005.78 = 2,034.21 : x
2. Step 2: Convert to fraction form
   3,627.41/5,005.78 = 2,034.21/x
3. Step 3: Cross multiply
   3,627.41x = 5,005.78 × 2,034.21
4. Step 4: Simplify right side
   3,627.41x = 10,182,807.73
5. Step 5: Solve for x
   x = 10,182,807.73/3,627.41
6. Step 6: Final answer
   x = 2,807.18