Finding the Fourth Proportional to 10,243.98, 14,138.10 and 5,769.54

Step by Step Solution

1. Step 1: Write the proportion equation
   10,243.98 : 14,138.10 = 5,769.54 : x
2. Step 2: Convert to fraction form
   10,243.98/14,138.10 = 5,769.54/x
3. Step 3: Cross multiply
   10,243.98x = 14,138.10 × 5,769.54
4. Step 4: Simplify right side
   10,243.98x = 81,570,333.47
5. Step 5: Solve for x
   x = 81,570,333.47/10,243.98
6. Step 6: Final answer
   x = 7,962.76