Finding the Fourth Proportional to 10,092.72, 13,927.50 and 5,616.12

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.72 : 13,927.50 = 5,616.12 : x
2. Step 2: Convert to fraction form
   10,092.72/13,927.50 = 5,616.12/x
3. Step 3: Cross multiply
   10,092.72x = 13,927.50 × 5,616.12
4. Step 4: Simplify right side
   10,092.72x = 78,218,511.30
5. Step 5: Solve for x
   x = 78,218,511.30/10,092.72
6. Step 6: Final answer
   x = 7,749.99