Finding the Fourth Proportional to 10,258.97, 14,153.57 and 7,869.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.97 : 14,153.57 = 7,869.37 : x
2. Step 2: Convert to fraction form
   10,258.97/14,153.57 = 7,869.37/x
3. Step 3: Cross multiply
   10,258.97x = 14,153.57 × 7,869.37
4. Step 4: Simplify right side
   10,258.97x = 111,379,679.15
5. Step 5: Solve for x
   x = 111,379,679.15/10,258.97
6. Step 6: Final answer
   x = 10,856.81