Finding the Fourth Proportional to 21,185.75, 31,778.38 and 5,175.42

Step by Step Solution

1. Step 1: Write the proportion equation
   21,185.75 : 31,778.38 = 5,175.42 : x
2. Step 2: Convert to fraction form
   21,185.75/31,778.38 = 5,175.42/x
3. Step 3: Cross multiply
   21,185.75x = 31,778.38 × 5,175.42
4. Step 4: Simplify right side
   21,185.75x = 164,466,469.89
5. Step 5: Solve for x
   x = 164,466,469.89/21,185.75
6. Step 6: Final answer
   x = 7,763.07