Finding the Fourth Proportional to 10,015.49, 13,822.40 and 5,766.71

Step by Step Solution

1. Step 1: Write the proportion equation
   10,015.49 : 13,822.40 = 5,766.71 : x
2. Step 2: Convert to fraction form
   10,015.49/13,822.40 = 5,766.71/x
3. Step 3: Cross multiply
   10,015.49x = 13,822.40 × 5,766.71
4. Step 4: Simplify right side
   10,015.49x = 79,709,772.30
5. Step 5: Solve for x
   x = 79,709,772.30/10,015.49
6. Step 6: Final answer
   x = 7,958.65