Finding the Fourth Proportional to 5,239.74, 7,842.57 and 3,852.72

Step by Step Solution

1. Step 1: Write the proportion equation
   5,239.74 : 7,842.57 = 3,852.72 : x
2. Step 2: Convert to fraction form
   5,239.74/7,842.57 = 3,852.72/x
3. Step 3: Cross multiply
   5,239.74x = 7,842.57 × 3,852.72
4. Step 4: Simplify right side
   5,239.74x = 30,215,226.29
5. Step 5: Solve for x
   x = 30,215,226.29/5,239.74
6. Step 6: Final answer
   x = 5,766.55