Finding the Fourth Proportional to 10,018.25, 13,823.63 and 5,769.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.25 : 13,823.63 = 5,769.49 : x
2. Step 2: Convert to fraction form
   10,018.25/13,823.63 = 5,769.49/x
3. Step 3: Cross multiply
   10,018.25x = 13,823.63 × 5,769.49
4. Step 4: Simplify right side
   10,018.25x = 79,755,372.80
5. Step 5: Solve for x
   x = 79,755,372.80/10,018.25
6. Step 6: Final answer
   x = 7,961.01