Finding the Fourth Proportional to 11,961.71, 17,946.41 and 3,643.34

Step by Step Solution

1. Step 1: Write the proportion equation
   11,961.71 : 17,946.41 = 3,643.34 : x
2. Step 2: Convert to fraction form
   11,961.71/17,946.41 = 3,643.34/x
3. Step 3: Cross multiply
   11,961.71x = 17,946.41 × 3,643.34
4. Step 4: Simplify right side
   11,961.71x = 65,384,882.52
5. Step 5: Solve for x
   x = 65,384,882.52/11,961.71
6. Step 6: Final answer
   x = 5,466.18