Finding the Fourth Proportional to 8,142.51, 12,155.34 and 7,564.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142.51 : 12,155.34 = 7,564.38 : x
2. Step 2: Convert to fraction form
   8,142.51/12,155.34 = 7,564.38/x
3. Step 3: Cross multiply
   8,142.51x = 12,155.34 × 7,564.38
4. Step 4: Simplify right side
   8,142.51x = 91,947,610.79
5. Step 5: Solve for x
   x = 91,947,610.79/8,142.51
6. Step 6: Final answer
   x = 11,292.29