Finding the Fourth Proportional to 10,226.78, 14,108.96 and 5,749.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,226.78 : 14,108.96 = 5,749.50 : x
2. Step 2: Convert to fraction form
   10,226.78/14,108.96 = 5,749.50/x
3. Step 3: Cross multiply
   10,226.78x = 14,108.96 × 5,749.50
4. Step 4: Simplify right side
   10,226.78x = 81,119,465.52
5. Step 5: Solve for x
   x = 81,119,465.52/10,226.78
6. Step 6: Final answer
   x = 7,932.06