Finding the Fourth Proportional to 5,667.49, 7,821.60 and 3,149.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.49 : 7,821.60 = 3,149.78 : x
2. Step 2: Convert to fraction form
   5,667.49/7,821.60 = 3,149.78/x
3. Step 3: Cross multiply
   5,667.49x = 7,821.60 × 3,149.78
4. Step 4: Simplify right side
   5,667.49x = 24,636,319.25
5. Step 5: Solve for x
   x = 24,636,319.25/5,667.49
6. Step 6: Final answer
   x = 4,346.96