Finding the Fourth Proportional to 11,961.96, 17,946.80 and 3,643.59

Step by Step Solution

1. Step 1: Write the proportion equation
   11,961.96 : 17,946.80 = 3,643.59 : x
2. Step 2: Convert to fraction form
   11,961.96/17,946.80 = 3,643.59/x
3. Step 3: Cross multiply
   11,961.96x = 17,946.80 × 3,643.59
4. Step 4: Simplify right side
   11,961.96x = 65,390,762.79
5. Step 5: Solve for x
   x = 65,390,762.79/11,961.96
6. Step 6: Final answer
   x = 5,466.56