Finding the Fourth Proportional to 10,083.75, 13,908.28 and 7,775.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,083.75 : 13,908.28 = 7,775.61 : x
2. Step 2: Convert to fraction form
   10,083.75/13,908.28 = 7,775.61/x
3. Step 3: Cross multiply
   10,083.75x = 13,908.28 × 7,775.61
4. Step 4: Simplify right side
   10,083.75x = 108,145,361.05
5. Step 5: Solve for x
   x = 108,145,361.05/10,083.75
6. Step 6: Final answer
   x = 10,724.72