Finding the Fourth Proportional to 10,014.50, 13,820.44 and 5,538.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.50 : 13,820.44 = 5,538.25 : x
2. Step 2: Convert to fraction form
   10,014.50/13,820.44 = 5,538.25/x
3. Step 3: Cross multiply
   10,014.50x = 13,820.44 × 5,538.25
4. Step 4: Simplify right side
   10,014.50x = 76,540,979.36
5. Step 5: Solve for x
   x = 76,540,979.36/10,014.50
6. Step 6: Final answer
   x = 7,643.02