Finding the Fourth Proportional to 12,742.16, 17,582.81 and 7,708.41

Step by Step Solution

1. Step 1: Write the proportion equation
   12,742.16 : 17,582.81 = 7,708.41 : x
2. Step 2: Convert to fraction form
   12,742.16/17,582.81 = 7,708.41/x
3. Step 3: Cross multiply
   12,742.16x = 17,582.81 × 7,708.41
4. Step 4: Simplify right side
   12,742.16x = 135,535,469.89
5. Step 5: Solve for x
   x = 135,535,469.89/12,742.16
6. Step 6: Final answer
   x = 10,636.78