Finding the Fourth Proportional to 10,226, 14,111.76 and 5,750.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,226 : 14,111.76 = 5,750.52 : x
2. Step 2: Convert to fraction form
   10,226/14,111.76 = 5,750.52/x
3. Step 3: Cross multiply
   10,226x = 14,111.76 × 5,750.52
4. Step 4: Simplify right side
   10,226x = 81,149,958.12
5. Step 5: Solve for x
   x = 81,149,958.12/10,226
6. Step 6: Final answer
   x = 7,935.65