Finding the Fourth Proportional to 7,665.12, 11,481.12 and 5,186.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,665.12 : 11,481.12 = 5,186.34 : x
2. Step 2: Convert to fraction form
   7,665.12/11,481.12 = 5,186.34/x
3. Step 3: Cross multiply
   7,665.12x = 11,481.12 × 5,186.34
4. Step 4: Simplify right side
   7,665.12x = 59,544,991.90
5. Step 5: Solve for x
   x = 59,544,991.90/7,665.12
6. Step 6: Final answer
   x = 7,768.31