Finding the Fourth Proportional to 14,562.78, 20,099.82 and 9,256.56

Step by Step Solution

1. Step 1: Write the proportion equation
   14,562.78 : 20,099.82 = 9,256.56 : x
2. Step 2: Convert to fraction form
   14,562.78/20,099.82 = 9,256.56/x
3. Step 3: Cross multiply
   14,562.78x = 20,099.82 × 9,256.56
4. Step 4: Simplify right side
   14,562.78x = 186,055,189.82
5. Step 5: Solve for x
   x = 186,055,189.82/14,562.78
6. Step 6: Final answer
   x = 12,776.08