Finding the Fourth Proportional to 10,092.28, 13,927.42 and 5,616.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.28 : 13,927.42 = 5,616.22 : x
2. Step 2: Convert to fraction form
   10,092.28/13,927.42 = 5,616.22/x
3. Step 3: Cross multiply
   10,092.28x = 13,927.42 × 5,616.22
4. Step 4: Simplify right side
   10,092.28x = 78,219,454.75
5. Step 5: Solve for x
   x = 78,219,454.75/10,092.28
6. Step 6: Final answer
   x = 7,750.42