Finding the Fourth Proportional to 5,667.50, 7,821.15 and 3,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.50 : 7,821.15 = 3,183.50 : x
2. Step 2: Convert to fraction form
   5,667.50/7,821.15 = 3,183.50/x
3. Step 3: Cross multiply
   5,667.50x = 7,821.15 × 3,183.50
4. Step 4: Simplify right side
   5,667.50x = 24,898,631.03
5. Step 5: Solve for x
   x = 24,898,631.03/5,667.50
6. Step 6: Final answer
   x = 4,393.23