Finding the Fourth Proportional to 5,742.46, 7,927.61 and 3,863.92

Step by Step Solution

1. Step 1: Write the proportion equation
   5,742.46 : 7,927.61 = 3,863.92 : x
2. Step 2: Convert to fraction form
   5,742.46/7,927.61 = 3,863.92/x
3. Step 3: Cross multiply
   5,742.46x = 7,927.61 × 3,863.92
4. Step 4: Simplify right side
   5,742.46x = 30,631,650.83
5. Step 5: Solve for x
   x = 30,631,650.83/5,742.46
6. Step 6: Final answer
   x = 5,334.24