Finding the Fourth Proportional to 10,018.38, 13,824.54 and 5,769.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.38 : 13,824.54 = 5,769.21 : x
2. Step 2: Convert to fraction form
   10,018.38/13,824.54 = 5,769.21/x
3. Step 3: Cross multiply
   10,018.38x = 13,824.54 × 5,769.21
4. Step 4: Simplify right side
   10,018.38x = 79,756,674.41
5. Step 5: Solve for x
   x = 79,756,674.41/10,018.38
6. Step 6: Final answer
   x = 7,961.04