Finding the Fourth Proportional to 12,846.41, 17,729.33 and 7,541.12

Step by Step Solution

1. Step 1: Write the proportion equation
   12,846.41 : 17,729.33 = 7,541.12 : x
2. Step 2: Convert to fraction form
   12,846.41/17,729.33 = 7,541.12/x
3. Step 3: Cross multiply
   12,846.41x = 17,729.33 × 7,541.12
4. Step 4: Simplify right side
   12,846.41x = 133,698,878.70
5. Step 5: Solve for x
   x = 133,698,878.70/12,846.41
6. Step 6: Final answer
   x = 10,407.49