Finding the Fourth Proportional to 11,642.82, 17,467.64 and 3,745.16

Step by Step Solution

1. Step 1: Write the proportion equation
   11,642.82 : 17,467.64 = 3,745.16 : x
2. Step 2: Convert to fraction form
   11,642.82/17,467.64 = 3,745.16/x
3. Step 3: Cross multiply
   11,642.82x = 17,467.64 × 3,745.16
4. Step 4: Simplify right side
   11,642.82x = 65,419,087.90
5. Step 5: Solve for x
   x = 65,419,087.90/11,642.82
6. Step 6: Final answer
   x = 5,618.84