Finding the Fourth Proportional to 11,644.78, 17,461.81 and 3,745.83

Step by Step Solution

1. Step 1: Write the proportion equation
   11,644.78 : 17,461.81 = 3,745.83 : x
2. Step 2: Convert to fraction form
   11,644.78/17,461.81 = 3,745.83/x
3. Step 3: Cross multiply
   11,644.78x = 17,461.81 × 3,745.83
4. Step 4: Simplify right side
   11,644.78x = 65,408,971.75
5. Step 5: Solve for x
   x = 65,408,971.75/11,644.78
6. Step 6: Final answer
   x = 5,617.02