Finding the Fourth Proportional to 11,964.42, 17,948.81 and 3,643.49

Step by Step Solution

1. Step 1: Write the proportion equation
   11,964.42 : 17,948.81 = 3,643.49 : x
2. Step 2: Convert to fraction form
   11,964.42/17,948.81 = 3,643.49/x
3. Step 3: Cross multiply
   11,964.42x = 17,948.81 × 3,643.49
4. Step 4: Simplify right side
   11,964.42x = 65,396,363.73
5. Step 5: Solve for x
   x = 65,396,363.73/11,964.42
6. Step 6: Final answer
   x = 5,465.90