Finding the Fourth Proportional to 10,015.82, 13,822.86 and 5,767.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,015.82 : 13,822.86 = 5,767.02 : x
2. Step 2: Convert to fraction form
   10,015.82/13,822.86 = 5,767.02/x
3. Step 3: Cross multiply
   10,015.82x = 13,822.86 × 5,767.02
4. Step 4: Simplify right side
   10,015.82x = 79,716,710.08
5. Step 5: Solve for x
   x = 79,716,710.08/10,015.82
6. Step 6: Final answer
   x = 7,959.08