Finding the Fourth Proportional to 5,667.84, 7,821.50 and 3,149.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,667.84 : 7,821.50 = 3,149.94 : x
2. Step 2: Convert to fraction form
   5,667.84/7,821.50 = 3,149.94/x
3. Step 3: Cross multiply
   5,667.84x = 7,821.50 × 3,149.94
4. Step 4: Simplify right side
   5,667.84x = 24,637,255.71
5. Step 5: Solve for x
   x = 24,637,255.71/5,667.84
6. Step 6: Final answer
   x = 4,346.85