Finding the Fourth Proportional to 10,092.96, 13,928.07 and 5,616.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.96 : 13,928.07 = 5,616.69 : x
2. Step 2: Convert to fraction form
   10,092.96/13,928.07 = 5,616.69/x
3. Step 3: Cross multiply
   10,092.96x = 13,928.07 × 5,616.69
4. Step 4: Simplify right side
   10,092.96x = 78,229,651.49
5. Step 5: Solve for x
   x = 78,229,651.49/10,092.96
6. Step 6: Final answer
   x = 7,750.91