Finding the Fourth Proportional to 6,806.88, 10,200.78 and 3,688.56

Step by Step Solution

1. Step 1: Write the proportion equation
   6,806.88 : 10,200.78 = 3,688.56 : x
2. Step 2: Convert to fraction form
   6,806.88/10,200.78 = 3,688.56/x
3. Step 3: Cross multiply
   6,806.88x = 10,200.78 × 3,688.56
4. Step 4: Simplify right side
   6,806.88x = 37,626,189.08
5. Step 5: Solve for x
   x = 37,626,189.08/6,806.88
6. Step 6: Final answer
   x = 5,527.67