Finding the Fourth Proportional to 11,553.68, 15,936.74 and 7,575.05

Step by Step Solution

1. Step 1: Write the proportion equation
   11,553.68 : 15,936.74 = 7,575.05 : x
2. Step 2: Convert to fraction form
   11,553.68/15,936.74 = 7,575.05/x
3. Step 3: Cross multiply
   11,553.68x = 15,936.74 × 7,575.05
4. Step 4: Simplify right side
   11,553.68x = 120,721,632.71
5. Step 5: Solve for x
   x = 120,721,632.71/11,553.68
6. Step 6: Final answer
   x = 10,448.76