Finding the Fourth Proportional to 10,019.50, 13,826.62 and 5,543.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.50 : 13,826.62 = 5,543.44 : x
2. Step 2: Convert to fraction form
   10,019.50/13,826.62 = 5,543.44/x
3. Step 3: Cross multiply
   10,019.50x = 13,826.62 × 5,543.44
4. Step 4: Simplify right side
   10,019.50x = 76,647,038.37
5. Step 5: Solve for x
   x = 76,647,038.37/10,019.50
6. Step 6: Final answer
   x = 7,649.79