Finding the Fourth Proportional to 10,185.41, 15,278.16 and 5,256.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.41 : 15,278.16 = 5,256.56 : x
2. Step 2: Convert to fraction form
   10,185.41/15,278.16 = 5,256.56/x
3. Step 3: Cross multiply
   10,185.41x = 15,278.16 × 5,256.56
4. Step 4: Simplify right side
   10,185.41x = 80,310,564.73
5. Step 5: Solve for x
   x = 80,310,564.73/10,185.41
6. Step 6: Final answer
   x = 7,884.86