Finding the Fourth Proportional to 11,643.49, 17,466.05 and 3,857.77

Step by Step Solution

1. Step 1: Write the proportion equation
   11,643.49 : 17,466.05 = 3,857.77 : x
2. Step 2: Convert to fraction form
   11,643.49/17,466.05 = 3,857.77/x
3. Step 3: Cross multiply
   11,643.49x = 17,466.05 × 3,857.77
4. Step 4: Simplify right side
   11,643.49x = 67,380,003.71
5. Step 5: Solve for x
   x = 67,380,003.71/11,643.49
6. Step 6: Final answer
   x = 5,786.93