Finding the Fourth Proportional to 7,005.76, 9,667.94 and 3,862

Step by Step Solution

1. Step 1: Write the proportion equation
   7,005.76 : 9,667.94 = 3,862 : x
2. Step 2: Convert to fraction form
   7,005.76/9,667.94 = 3,862/x
3. Step 3: Cross multiply
   7,005.76x = 9,667.94 × 3,862
4. Step 4: Simplify right side
   7,005.76x = 37,337,584.28
5. Step 5: Solve for x
   x = 37,337,584.28/7,005.76
6. Step 6: Final answer
   x = 5,329.56