Finding the Fourth Proportional to 10,093.82, 13,928.09 and 5,616.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,093.82 : 13,928.09 = 5,616.96 : x
2. Step 2: Convert to fraction form
   10,093.82/13,928.09 = 5,616.96/x
3. Step 3: Cross multiply
   10,093.82x = 13,928.09 × 5,616.96
4. Step 4: Simplify right side
   10,093.82x = 78,233,538.45
5. Step 5: Solve for x
   x = 78,233,538.45/10,093.82
6. Step 6: Final answer
   x = 7,750.64