Finding the Fourth Proportional to 10,019.40, 13,826.70 and 5,543.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.40 : 13,826.70 = 5,543.16 : x
2. Step 2: Convert to fraction form
   10,019.40/13,826.70 = 5,543.16/x
3. Step 3: Cross multiply
   10,019.40x = 13,826.70 × 5,543.16
4. Step 4: Simplify right side
   10,019.40x = 76,643,610.37
5. Step 5: Solve for x
   x = 76,643,610.37/10,019.40
6. Step 6: Final answer
   x = 7,649.52