Finding the Fourth Proportional to 10,019.61, 13,826.93 and 5,543.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.61 : 13,826.93 = 5,543.37 : x
2. Step 2: Convert to fraction form
   10,019.61/13,826.93 = 5,543.37/x
3. Step 3: Cross multiply
   10,019.61x = 13,826.93 × 5,543.37
4. Step 4: Simplify right side
   10,019.61x = 76,647,761.24
5. Step 5: Solve for x
   x = 76,647,761.24/10,019.61
6. Step 6: Final answer
   x = 7,649.77