Finding the Fourth Proportional to 10,258.58, 14,180.75 and 9,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,258.58 : 14,180.75 = 9,150.50 : x
2. Step 2: Convert to fraction form
   10,258.58/14,180.75 = 9,150.50/x
3. Step 3: Cross multiply
   10,258.58x = 14,180.75 × 9,150.50
4. Step 4: Simplify right side
   10,258.58x = 129,760,836.22
5. Step 5: Solve for x
   x = 129,760,836.22/10,258.58
6. Step 6: Final answer
   x = 12,649.01