Finding the Fourth Proportional to 3,723.50, 5,101.65 and 3,677.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,723.50 : 5,101.65 = 3,677.38 : x
2. Step 2: Convert to fraction form
   3,723.50/5,101.65 = 3,677.38/x
3. Step 3: Cross multiply
   3,723.50x = 5,101.65 × 3,677.38
4. Step 4: Simplify right side
   3,723.50x = 18,760,706.71
5. Step 5: Solve for x
   x = 18,760,706.71/3,723.50
6. Step 6: Final answer
   x = 5,038.47