Finding the Fourth Proportional to 10,016.30, 13,822.61 and 5,539.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,016.30 : 13,822.61 = 5,539.93 : x
2. Step 2: Convert to fraction form
   10,016.30/13,822.61 = 5,539.93/x
3. Step 3: Cross multiply
   10,016.30x = 13,822.61 × 5,539.93
4. Step 4: Simplify right side
   10,016.30x = 76,576,277.97
5. Step 5: Solve for x
   x = 76,576,277.97/10,016.30
6. Step 6: Final answer
   x = 7,645.17