Finding the Fourth Proportional to 10,019.72, 13,826.16 and 5,542.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.72 : 13,826.16 = 5,542.76 : x
2. Step 2: Convert to fraction form
   10,019.72/13,826.16 = 5,542.76/x
3. Step 3: Cross multiply
   10,019.72x = 13,826.16 × 5,542.76
4. Step 4: Simplify right side
   10,019.72x = 76,635,086.60
5. Step 5: Solve for x
   x = 76,635,086.60/10,019.72
6. Step 6: Final answer
   x = 7,648.43