Finding the Fourth Proportional to 3,861.12, 5,754.54 and 3,828.96

Step by Step Solution

1. Step 1: Write the proportion equation
   3,861.12 : 5,754.54 = 3,828.96 : x
2. Step 2: Convert to fraction form
   3,861.12/5,754.54 = 3,828.96/x
3. Step 3: Cross multiply
   3,861.12x = 5,754.54 × 3,828.96
4. Step 4: Simplify right side
   3,861.12x = 22,033,903.48
5. Step 5: Solve for x
   x = 22,033,903.48/3,861.12
6. Step 6: Final answer
   x = 5,706.61