Finding the Fourth Proportional to 10,093.25, 13,928.57 and 5,616.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,093.25 : 13,928.57 = 5,616.92 : x
2. Step 2: Convert to fraction form
   10,093.25/13,928.57 = 5,616.92/x
3. Step 3: Cross multiply
   10,093.25x = 13,928.57 × 5,616.92
4. Step 4: Simplify right side
   10,093.25x = 78,235,642.63
5. Step 5: Solve for x
   x = 78,235,642.63/10,093.25
6. Step 6: Final answer
   x = 7,751.29