Finding the Fourth Proportional to 6,688.09, 9,230.86 and 3,857.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,688.09 : 9,230.86 = 3,857.30 : x
2. Step 2: Convert to fraction form
   6,688.09/9,230.86 = 3,857.30/x
3. Step 3: Cross multiply
   6,688.09x = 9,230.86 × 3,857.30
4. Step 4: Simplify right side
   6,688.09x = 35,606,196.28
5. Step 5: Solve for x
   x = 35,606,196.28/6,688.09
6. Step 6: Final answer
   x = 5,323.82