Finding the Fourth Proportional to 12,882.86, 17,778.32 and 7,577.68

Step by Step Solution

1. Step 1: Write the proportion equation
   12,882.86 : 17,778.32 = 7,577.68 : x
2. Step 2: Convert to fraction form
   12,882.86/17,778.32 = 7,577.68/x
3. Step 3: Cross multiply
   12,882.86x = 17,778.32 × 7,577.68
4. Step 4: Simplify right side
   12,882.86x = 134,718,419.90
5. Step 5: Solve for x
   x = 134,718,419.90/12,882.86
6. Step 6: Final answer
   x = 10,457.18