Finding the Fourth Proportional to 11,647.49, 17,470.82 and 3,856.23

Step by Step Solution

1. Step 1: Write the proportion equation
   11,647.49 : 17,470.82 = 3,856.23 : x
2. Step 2: Convert to fraction form
   11,647.49/17,470.82 = 3,856.23/x
3. Step 3: Cross multiply
   11,647.49x = 17,470.82 × 3,856.23
4. Step 4: Simplify right side
   11,647.49x = 67,371,509.85
5. Step 5: Solve for x
   x = 67,371,509.85/11,647.49
6. Step 6: Final answer
   x = 5,784.21