Finding the Fourth Proportional to 7,005.34, 9,667.38 and 3,861.46

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.34 : 9,667.38 = 3,861.46 : x
2. Step 2: Convert to fraction form
   7,005.34/9,667.38 = 3,861.46/x
3. Step 3: Cross multiply
   7,005.34x = 9,667.38 × 3,861.46
4. Step 4: Simplify right side
   7,005.34x = 37,330,201.17
5. Step 5: Solve for x
   x = 37,330,201.17/7,005.34
6. Step 6: Final answer
   x = 5,328.82