Finding the Fourth Proportional to 10,018.22, 13,826.17 and 5,769.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.22 : 13,826.17 = 5,769.44 : x
2. Step 2: Convert to fraction form
   10,018.22/13,826.17 = 5,769.44/x
3. Step 3: Cross multiply
   10,018.22x = 13,826.17 × 5,769.44
4. Step 4: Simplify right side
   10,018.22x = 79,769,160.27
5. Step 5: Solve for x
   x = 79,769,160.27/10,018.22
6. Step 6: Final answer
   x = 7,962.41