Finding the Fourth Proportional to 11,753.14, 17,617.33 and 3,853.60

Step by Step Solution

1. Step 1: Write the proportion equation
   11,753.14 : 17,617.33 = 3,853.60 : x
2. Step 2: Convert to fraction form
   11,753.14/17,617.33 = 3,853.60/x
3. Step 3: Cross multiply
   11,753.14x = 17,617.33 × 3,853.60
4. Step 4: Simplify right side
   11,753.14x = 67,890,142.89
5. Step 5: Solve for x
   x = 67,890,142.89/11,753.14
6. Step 6: Final answer
   x = 5,776.34