Finding the Fourth Proportional to 10,092.63, 13,927.62 and 5,616.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092.63 : 13,927.62 = 5,616.21 : x
2. Step 2: Convert to fraction form
   10,092.63/13,927.62 = 5,616.21/x
3. Step 3: Cross multiply
   10,092.63x = 13,927.62 × 5,616.21
4. Step 4: Simplify right side
   10,092.63x = 78,220,438.72
5. Step 5: Solve for x
   x = 78,220,438.72/10,092.63
6. Step 6: Final answer
   x = 7,750.25