Finding the Fourth Proportional to 10,019.52, 13,826.61 and 5,543.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.52 : 13,826.61 = 5,543.10 : x
2. Step 2: Convert to fraction form
   10,019.52/13,826.61 = 5,543.10/x
3. Step 3: Cross multiply
   10,019.52x = 13,826.61 × 5,543.10
4. Step 4: Simplify right side
   10,019.52x = 76,642,281.89
5. Step 5: Solve for x
   x = 76,642,281.89/10,019.52
6. Step 6: Final answer
   x = 7,649.30