Finding the Fourth Proportional to 10,019.26, 13,826.31 and 5,543.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.26 : 13,826.31 = 5,543.10 : x
2. Step 2: Convert to fraction form
   10,019.26/13,826.31 = 5,543.10/x
3. Step 3: Cross multiply
   10,019.26x = 13,826.31 × 5,543.10
4. Step 4: Simplify right side
   10,019.26x = 76,640,618.96
5. Step 5: Solve for x
   x = 76,640,618.96/10,019.26
6. Step 6: Final answer
   x = 7,649.33