Finding the Fourth Proportional to 3,729.54, 5,524.48 and 3,688.05

Step by Step Solution

1. Step 1: Write the proportion equation
   3,729.54 : 5,524.48 = 3,688.05 : x
2. Step 2: Convert to fraction form
   3,729.54/5,524.48 = 3,688.05/x
3. Step 3: Cross multiply
   3,729.54x = 5,524.48 × 3,688.05
4. Step 4: Simplify right side
   3,729.54x = 20,374,558.46
5. Step 5: Solve for x
   x = 20,374,558.46/3,729.54
6. Step 6: Final answer
   x = 5,463.02