Finding the Fourth Proportional to 6,852.83, 10,269.71 and 3,848.21

Step by Step Solution

1. Step 1: Write the proportion equation
   6,852.83 : 10,269.71 = 3,848.21 : x
2. Step 2: Convert to fraction form
   6,852.83/10,269.71 = 3,848.21/x
3. Step 3: Cross multiply
   6,852.83x = 10,269.71 × 3,848.21
4. Step 4: Simplify right side
   6,852.83x = 39,519,993.89
5. Step 5: Solve for x
   x = 39,519,993.89/6,852.83
6. Step 6: Final answer
   x = 5,766.96