Finding the Fourth Proportional to 11,637.56, 16,067.42 and 7,665.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,637.56 : 16,067.42 = 7,665.42 : x
2. Step 2: Convert to fraction form
   11,637.56/16,067.42 = 7,665.42/x
3. Step 3: Cross multiply
   11,637.56x = 16,067.42 × 7,665.42
4. Step 4: Simplify right side
   11,637.56x = 123,163,484.29
5. Step 5: Solve for x
   x = 123,163,484.29/11,637.56
6. Step 6: Final answer
   x = 10,583.28