Finding the Fourth Proportional to 5,667.85, 7,821.86 and 3,149.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.85 : 7,821.86 = 3,149.94 : x
2. Step 2: Convert to fraction form
   5,667.85/7,821.86 = 3,149.94/x
3. Step 3: Cross multiply
   5,667.85x = 7,821.86 × 3,149.94
4. Step 4: Simplify right side
   5,667.85x = 24,638,389.69
5. Step 5: Solve for x
   x = 24,638,389.69/5,667.85
6. Step 6: Final answer
   x = 4,347.04