Finding the Fourth Proportional to 11,755.56, 17,632.69 and 3,857.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,755.56 : 17,632.69 = 3,857.07 : x
2. Step 2: Convert to fraction form
   11,755.56/17,632.69 = 3,857.07/x
3. Step 3: Cross multiply
   11,755.56x = 17,632.69 × 3,857.07
4. Step 4: Simplify right side
   11,755.56x = 68,010,519.62
5. Step 5: Solve for x
   x = 68,010,519.62/11,755.56
6. Step 6: Final answer
   x = 5,785.39