Finding the Fourth Proportional to 10,089, 15,131.16 and 3,846.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,089 : 15,131.16 = 3,846.78 : x
2. Step 2: Convert to fraction form
   10,089/15,131.16 = 3,846.78/x
3. Step 3: Cross multiply
   10,089x = 15,131.16 × 3,846.78
4. Step 4: Simplify right side
   10,089x = 58,206,243.66
5. Step 5: Solve for x
   x = 58,206,243.66/10,089
6. Step 6: Final answer
   x = 5,769.28