Finding the Fourth Proportional to 11,647.69, 17,474.27 and 3,856.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,647.69 : 17,474.27 = 3,856.50 : x
2. Step 2: Convert to fraction form
   11,647.69/17,474.27 = 3,856.50/x
3. Step 3: Cross multiply
   11,647.69x = 17,474.27 × 3,856.50
4. Step 4: Simplify right side
   11,647.69x = 67,389,522.26
5. Step 5: Solve for x
   x = 67,389,522.26/11,647.69
6. Step 6: Final answer
   x = 5,785.66