Finding the Fourth Proportional to 6,806.34, 10,213.83 and 3,688.47

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806.34 : 10,213.83 = 3,688.47 : x
2. Step 2: Convert to fraction form
   6,806.34/10,213.83 = 3,688.47/x
3. Step 3: Cross multiply
   6,806.34x = 10,213.83 × 3,688.47
4. Step 4: Simplify right side
   6,806.34x = 37,673,405.54
5. Step 5: Solve for x
   x = 37,673,405.54/6,806.34
6. Step 6: Final answer
   x = 5,535.05