Finding the Fourth Proportional to 10,019.75, 13,826.16 and 5,542.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.75 : 13,826.16 = 5,542.79 : x
2. Step 2: Convert to fraction form
   10,019.75/13,826.16 = 5,542.79/x
3. Step 3: Cross multiply
   10,019.75x = 13,826.16 × 5,542.79
4. Step 4: Simplify right side
   10,019.75x = 76,635,432.26
5. Step 5: Solve for x
   x = 76,635,432.26/10,019.75
6. Step 6: Final answer
   x = 7,648.44