Finding the Fourth Proportional to 10,019.02, 13,826.48 and 5,542.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.02 : 13,826.48 = 5,542.86 : x
2. Step 2: Convert to fraction form
   10,019.02/13,826.48 = 5,542.86/x
3. Step 3: Cross multiply
   10,019.02x = 13,826.48 × 5,542.86
4. Step 4: Simplify right side
   10,019.02x = 76,638,242.93
5. Step 5: Solve for x
   x = 76,638,242.93/10,019.02
6. Step 6: Final answer
   x = 7,649.28