Finding the Fourth Proportional to 10,093.16, 13,928.49 and 5,616.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,093.16 : 13,928.49 = 5,616.65 : x
2. Step 2: Convert to fraction form
   10,093.16/13,928.49 = 5,616.65/x
3. Step 3: Cross multiply
   10,093.16x = 13,928.49 × 5,616.65
4. Step 4: Simplify right side
   10,093.16x = 78,231,383.72
5. Step 5: Solve for x
   x = 78,231,383.72/10,093.16
6. Step 6: Final answer
   x = 7,750.93