Finding the Fourth Proportional to 10,015.20, 13,820.82 and 5,539.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,015.20 : 13,820.82 = 5,539.14 : x
2. Step 2: Convert to fraction form
   10,015.20/13,820.82 = 5,539.14/x
3. Step 3: Cross multiply
   10,015.20x = 13,820.82 × 5,539.14
4. Step 4: Simplify right side
   10,015.20x = 76,555,456.89
5. Step 5: Solve for x
   x = 76,555,456.89/10,015.20
6. Step 6: Final answer
   x = 7,643.93