Finding the Fourth Proportional to 10,122.72, 13,968.12 and 5,646.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122.72 : 13,968.12 = 5,646.72 : x
2. Step 2: Convert to fraction form
   10,122.72/13,968.12 = 5,646.72/x
3. Step 3: Cross multiply
   10,122.72x = 13,968.12 × 5,646.72
4. Step 4: Simplify right side
   10,122.72x = 78,874,062.57
5. Step 5: Solve for x
   x = 78,874,062.57/10,122.72
6. Step 6: Final answer
   x = 7,791.79