Finding the Fourth Proportional to 10,092.38, 13,927.38 and 5,616.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.38 : 13,927.38 = 5,616.14 : x
2. Step 2: Convert to fraction form
   10,092.38/13,927.38 = 5,616.14/x
3. Step 3: Cross multiply
   10,092.38x = 13,927.38 × 5,616.14
4. Step 4: Simplify right side
   10,092.38x = 78,218,115.91
5. Step 5: Solve for x
   x = 78,218,115.91/10,092.38
6. Step 6: Final answer
   x = 7,750.22