Finding the Fourth Proportional to 3,638.61, 5,021.31 and 2,066.71

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.61 : 5,021.31 = 2,066.71 : x
2. Step 2: Convert to fraction form
   3,638.61/5,021.31 = 2,066.71/x
3. Step 3: Cross multiply
   3,638.61x = 5,021.31 × 2,066.71
4. Step 4: Simplify right side
   3,638.61x = 10,377,591.59
5. Step 5: Solve for x
   x = 10,377,591.59/3,638.61
6. Step 6: Final answer
   x = 2,852.08