Finding the Fourth Proportional to 11,656.89, 17,488.05 and 3,865.68

Step by Step Solution

1. Step 1: Write the proportion equation
   11,656.89 : 17,488.05 = 3,865.68 : x
2. Step 2: Convert to fraction form
   11,656.89/17,488.05 = 3,865.68/x
3. Step 3: Cross multiply
   11,656.89x = 17,488.05 × 3,865.68
4. Step 4: Simplify right side
   11,656.89x = 67,603,205.12
5. Step 5: Solve for x
   x = 67,603,205.12/11,656.89
6. Step 6: Final answer
   x = 5,799.42