Finding the Fourth Proportional to 2,671.40, 3,683.22 and 2,006.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,671.40 : 3,683.22 = 2,006.12 : x
2. Step 2: Convert to fraction form
   2,671.40/3,683.22 = 2,006.12/x
3. Step 3: Cross multiply
   2,671.40x = 3,683.22 × 2,006.12
4. Step 4: Simplify right side
   2,671.40x = 7,388,981.31
5. Step 5: Solve for x
   x = 7,388,981.31/2,671.40
6. Step 6: Final answer
   x = 2,765.96