Finding the Fourth Proportional to 10,092.86, 13,928.02 and 5,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.86 : 13,928.02 = 5,616.50 : x
2. Step 2: Convert to fraction form
   10,092.86/13,928.02 = 5,616.50/x
3. Step 3: Cross multiply
   10,092.86x = 13,928.02 × 5,616.50
4. Step 4: Simplify right side
   10,092.86x = 78,226,724.33
5. Step 5: Solve for x
   x = 78,226,724.33/10,092.86
6. Step 6: Final answer
   x = 7,750.70