Finding the Fourth Proportional to 12,867.60, 17,760.78 and 7,564.12

Step by Step Solution

1. Step 1: Write the proportion equation
   12,867.60 : 17,760.78 = 7,564.12 : x
2. Step 2: Convert to fraction form
   12,867.60/17,760.78 = 7,564.12/x
3. Step 3: Cross multiply
   12,867.60x = 17,760.78 × 7,564.12
4. Step 4: Simplify right side
   12,867.60x = 134,344,671.21
5. Step 5: Solve for x
   x = 134,344,671.21/12,867.60
6. Step 6: Final answer
   x = 10,440.54