Finding the Fourth Proportional to 5,747.42, 7,931.84 and 3,862.14

Step by Step Solution

1. Step 1: Write the proportion equation
   5,747.42 : 7,931.84 = 3,862.14 : x
2. Step 2: Convert to fraction form
   5,747.42/7,931.84 = 3,862.14/x
3. Step 3: Cross multiply
   5,747.42x = 7,931.84 × 3,862.14
4. Step 4: Simplify right side
   5,747.42x = 30,633,876.54
5. Step 5: Solve for x
   x = 30,633,876.54/5,747.42
6. Step 6: Final answer
   x = 5,330.02