Finding the Fourth Proportional to 10,014.24, 13,819.51 and 5,538.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.24 : 13,819.51 = 5,538.07 : x
2. Step 2: Convert to fraction form
   10,014.24/13,819.51 = 5,538.07/x
3. Step 3: Cross multiply
   10,014.24x = 13,819.51 × 5,538.07
4. Step 4: Simplify right side
   10,014.24x = 76,533,413.75
5. Step 5: Solve for x
   x = 76,533,413.75/10,014.24
6. Step 6: Final answer
   x = 7,642.46