Finding the Fourth Proportional to 10,845, 16,256.42 and 6,155.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,845 : 16,256.42 = 6,155.10 : x
2. Step 2: Convert to fraction form
   10,845/16,256.42 = 6,155.10/x
3. Step 3: Cross multiply
   10,845x = 16,256.42 × 6,155.10
4. Step 4: Simplify right side
   10,845x = 100,059,883.05
5. Step 5: Solve for x
   x = 100,059,883.05/10,845
6. Step 6: Final answer
   x = 9,226.36