Finding the Fourth Proportional to 10,015.16, 13,820.69 and 5,538.83

Step by Step Solution

1. Step 1: Write the proportion equation
   10,015.16 : 13,820.69 = 5,538.83 : x
2. Step 2: Convert to fraction form
   10,015.16/13,820.69 = 5,538.83/x
3. Step 3: Cross multiply
   10,015.16x = 13,820.69 × 5,538.83
4. Step 4: Simplify right side
   10,015.16x = 76,550,355.60
5. Step 5: Solve for x
   x = 76,550,355.60/10,015.16
6. Step 6: Final answer
   x = 7,643.45