Finding the Fourth Proportional to 11,976.37, 17,964.55 and 3,656.42

Step by Step Solution

1. Step 1: Write the proportion equation
   11,976.37 : 17,964.55 = 3,656.42 : x
2. Step 2: Convert to fraction form
   11,976.37/17,964.55 = 3,656.42/x
3. Step 3: Cross multiply
   11,976.37x = 17,964.55 × 3,656.42
4. Step 4: Simplify right side
   11,976.37x = 65,686,023.08
5. Step 5: Solve for x
   x = 65,686,023.08/11,976.37
6. Step 6: Final answer
   x = 5,484.63