Finding the Fourth Proportional to 11,964.02, 17,948.64 and 3,643.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,964.02 : 17,948.64 = 3,643.82 : x
2. Step 2: Convert to fraction form
   11,964.02/17,948.64 = 3,643.82/x
3. Step 3: Cross multiply
   11,964.02x = 17,948.64 × 3,643.82
4. Step 4: Simplify right side
   11,964.02x = 65,401,613.40
5. Step 5: Solve for x
   x = 65,401,613.40/11,964.02
6. Step 6: Final answer
   x = 5,466.52