Finding the Fourth Proportional to 10,122.84, 13,968.72 and 5,646.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,122.84 : 13,968.72 = 5,646.24 : x
2. Step 2: Convert to fraction form
   10,122.84/13,968.72 = 5,646.24/x
3. Step 3: Cross multiply
   10,122.84x = 13,968.72 × 5,646.24
4. Step 4: Simplify right side
   10,122.84x = 78,870,745.61
5. Step 5: Solve for x
   x = 78,870,745.61/10,122.84
6. Step 6: Final answer
   x = 7,791.37