Finding the Fourth Proportional to 3,849.81, 5,776.40 and 3,683.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,849.81 : 5,776.40 = 3,683.72 : x
2. Step 2: Convert to fraction form
   3,849.81/5,776.40 = 3,683.72/x
3. Step 3: Cross multiply
   3,849.81x = 5,776.40 × 3,683.72
4. Step 4: Simplify right side
   3,849.81x = 21,278,663.86
5. Step 5: Solve for x
   x = 21,278,663.86/3,849.81
6. Step 6: Final answer
   x = 5,527.20