Finding the Fourth Proportional to 10,226.78, 14,114.31 and 7,581.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,226.78 : 14,114.31 = 7,581.72 : x
2. Step 2: Convert to fraction form
   10,226.78/14,114.31 = 7,581.72/x
3. Step 3: Cross multiply
   10,226.78x = 14,114.31 × 7,581.72
4. Step 4: Simplify right side
   10,226.78x = 107,010,746.41
5. Step 5: Solve for x
   x = 107,010,746.41/10,226.78
6. Step 6: Final answer
   x = 10,463.78