Finding the Fourth Proportional to 10,019.30, 13,825.89 and 5,542.22

Step by Step Solution

1. Step 1: Write the proportion equation
   10,019.30 : 13,825.89 = 5,542.22 : x
2. Step 2: Convert to fraction form
   10,019.30/13,825.89 = 5,542.22/x
3. Step 3: Cross multiply
   10,019.30x = 13,825.89 × 5,542.22
4. Step 4: Simplify right side
   10,019.30x = 76,626,158.64
5. Step 5: Solve for x
   x = 76,626,158.64/10,019.30
6. Step 6: Final answer
   x = 7,647.86