Finding the Fourth Proportional to 7,005.74, 9,667.46 and 3,861.92

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.74 : 9,667.46 = 3,861.92 : x
2. Step 2: Convert to fraction form
   7,005.74/9,667.46 = 3,861.92/x
3. Step 3: Cross multiply
   7,005.74x = 9,667.46 × 3,861.92
4. Step 4: Simplify right side
   7,005.74x = 37,334,957.12
5. Step 5: Solve for x
   x = 37,334,957.12/7,005.74
6. Step 6: Final answer
   x = 5,329.20