Finding the Fourth Proportional to 11,588.72, 17,383.18 and 7,665.14

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588.72 : 17,383.18 = 7,665.14 : x
2. Step 2: Convert to fraction form
   11,588.72/17,383.18 = 7,665.14/x
3. Step 3: Cross multiply
   11,588.72x = 17,383.18 × 7,665.14
4. Step 4: Simplify right side
   11,588.72x = 133,244,508.35
5. Step 5: Solve for x
   x = 133,244,508.35/11,588.72
6. Step 6: Final answer
   x = 11,497.78