Finding the Fourth Proportional to 11,906.16, 17,853.48 and 3,584.64

Step by Step Solution

1. Step 1: Write the proportion equation
   11,906.16 : 17,853.48 = 3,584.64 : x
2. Step 2: Convert to fraction form
   11,906.16/17,853.48 = 3,584.64/x
3. Step 3: Cross multiply
   11,906.16x = 17,853.48 × 3,584.64
4. Step 4: Simplify right side
   11,906.16x = 63,998,298.55
5. Step 5: Solve for x
   x = 63,998,298.55/11,906.16
6. Step 6: Final answer
   x = 5,375.23