Finding the Fourth Proportional to 5,829.30, 8,046.72 and 3,942

Step by Step Solution

1. Step 1: Write the proportion equation
   5,829.30 : 8,046.72 = 3,942 : x
2. Step 2: Convert to fraction form
   5,829.30/8,046.72 = 3,942/x
3. Step 3: Cross multiply
   5,829.30x = 8,046.72 × 3,942
4. Step 4: Simplify right side
   5,829.30x = 31,720,170.24
5. Step 5: Solve for x
   x = 31,720,170.24/5,829.30
6. Step 6: Final answer
   x = 5,441.51