Finding the Fourth Proportional to 12,851.47, 17,736.60 and 7,546.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,851.47 : 17,736.60 = 7,546.78 : x
2. Step 2: Convert to fraction form
   12,851.47/17,736.60 = 7,546.78/x
3. Step 3: Cross multiply
   12,851.47x = 17,736.60 × 7,546.78
4. Step 4: Simplify right side
   12,851.47x = 133,854,218.15
5. Step 5: Solve for x
   x = 133,854,218.15/12,851.47
6. Step 6: Final answer
   x = 10,415.48