Finding the Fourth Proportional to 5,667.71, 7,821.71 and 3,149.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.71 : 7,821.71 = 3,149.86 : x
2. Step 2: Convert to fraction form
   5,667.71/7,821.71 = 3,149.86/x
3. Step 3: Cross multiply
   5,667.71x = 7,821.71 × 3,149.86
4. Step 4: Simplify right side
   5,667.71x = 24,637,312.30
5. Step 5: Solve for x
   x = 24,637,312.30/5,667.71
6. Step 6: Final answer
   x = 4,346.96