Finding the Fourth Proportional to 11,616.58, 17,427.57 and 3,825.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,616.58 : 17,427.57 = 3,825.10 : x
2. Step 2: Convert to fraction form
   11,616.58/17,427.57 = 3,825.10/x
3. Step 3: Cross multiply
   11,616.58x = 17,427.57 × 3,825.10
4. Step 4: Simplify right side
   11,616.58x = 66,662,198.01
5. Step 5: Solve for x
   x = 66,662,198.01/11,616.58
6. Step 6: Final answer
   x = 5,738.54