Finding the Fourth Proportional to 5,239.34, 7,864.17 and 3,848.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,239.34 : 7,864.17 = 3,848.77 : x
2. Step 2: Convert to fraction form
   5,239.34/7,864.17 = 3,848.77/x
3. Step 3: Cross multiply
   5,239.34x = 7,864.17 × 3,848.77
4. Step 4: Simplify right side
   5,239.34x = 30,267,381.57
5. Step 5: Solve for x
   x = 30,267,381.57/5,239.34
6. Step 6: Final answer
   x = 5,776.95