Finding the Fourth Proportional to 3,638.71, 5,020.95 and 2,066.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.71 : 5,020.95 = 2,066.50 : x
2. Step 2: Convert to fraction form
   3,638.71/5,020.95 = 2,066.50/x
3. Step 3: Cross multiply
   3,638.71x = 5,020.95 × 2,066.50
4. Step 4: Simplify right side
   3,638.71x = 10,375,793.18
5. Step 5: Solve for x
   x = 10,375,793.18/3,638.71
6. Step 6: Final answer
   x = 2,851.50