Finding the Fourth Proportional to 10,016.28, 13,822.56 and 5,539.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.28 : 13,822.56 = 5,539.92 : x
2. Step 2: Convert to fraction form
   10,016.28/13,822.56 = 5,539.92/x
3. Step 3: Cross multiply
   10,016.28x = 13,822.56 × 5,539.92
4. Step 4: Simplify right side
   10,016.28x = 76,575,876.60
5. Step 5: Solve for x
   x = 76,575,876.60/10,016.28
6. Step 6: Final answer
   x = 7,645.14