Finding the Fourth Proportional to 11,757.39, 17,623.71 and 3,857.85

Step by Step Solution

1. Step 1: Write the proportion equation
   11,757.39 : 17,623.71 = 3,857.85 : x
2. Step 2: Convert to fraction form
   11,757.39/17,623.71 = 3,857.85/x
3. Step 3: Cross multiply
   11,757.39x = 17,623.71 × 3,857.85
4. Step 4: Simplify right side
   11,757.39x = 67,989,629.62
5. Step 5: Solve for x
   x = 67,989,629.62/11,757.39
6. Step 6: Final answer
   x = 5,782.71