Finding the Fourth Proportional to 9,680.81, 13,357.46 and 5,700.47

Step by Step Solution

1. Step 1: Write the proportion equation
   9,680.81 : 13,357.46 = 5,700.47 : x
2. Step 2: Convert to fraction form
   9,680.81/13,357.46 = 5,700.47/x
3. Step 3: Cross multiply
   9,680.81x = 13,357.46 × 5,700.47
4. Step 4: Simplify right side
   9,680.81x = 76,143,847.65
5. Step 5: Solve for x
   x = 76,143,847.65/9,680.81
6. Step 6: Final answer
   x = 7,865.44