Finding the Fourth Proportional to 11,540.69, 17,311.02 and 3,643.81

Step by Step Solution

1. Step 1: Write the proportion equation
   11,540.69 : 17,311.02 = 3,643.81 : x
2. Step 2: Convert to fraction form
   11,540.69/17,311.02 = 3,643.81/x
3. Step 3: Cross multiply
   11,540.69x = 17,311.02 × 3,643.81
4. Step 4: Simplify right side
   11,540.69x = 63,078,059.53
5. Step 5: Solve for x
   x = 63,078,059.53/11,540.69
6. Step 6: Final answer
   x = 5,465.71