Finding the Fourth Proportional to 3,843.72, 5,769.50 and 3,407.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,843.72 : 5,769.50 = 3,407.67 : x
2. Step 2: Convert to fraction form
   3,843.72/5,769.50 = 3,407.67/x
3. Step 3: Cross multiply
   3,843.72x = 5,769.50 × 3,407.67
4. Step 4: Simplify right side
   3,843.72x = 19,660,535.03
5. Step 5: Solve for x
   x = 19,660,535.03/3,843.72
6. Step 6: Final answer
   x = 5,114.98