Finding the Fourth Proportional to 5,667.65, 7,820.98 and 3,149.57

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.65 : 7,820.98 = 3,149.57 : x
2. Step 2: Convert to fraction form
   5,667.65/7,820.98 = 3,149.57/x
3. Step 3: Cross multiply
   5,667.65x = 7,820.98 × 3,149.57
4. Step 4: Simplify right side
   5,667.65x = 24,632,723.98
5. Step 5: Solve for x
   x = 24,632,723.98/5,667.65
6. Step 6: Final answer
   x = 4,346.20