Finding the Fourth Proportional to 21,196.64, 31,794.94 and 5,614.27

Step by Step Solution

1. Step 1: Write the proportion equation
   21,196.64 : 31,794.94 = 5,614.27 : x
2. Step 2: Convert to fraction form
   21,196.64/31,794.94 = 5,614.27/x
3. Step 3: Cross multiply
   21,196.64x = 31,794.94 × 5,614.27
4. Step 4: Simplify right side
   21,196.64x = 178,505,377.79
5. Step 5: Solve for x
   x = 178,505,377.79/21,196.64
6. Step 6: Final answer
   x = 8,421.40