Finding the Fourth Proportional to 10,014.85, 13,821.21 and 5,538.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.85 : 13,821.21 = 5,538.52 : x
2. Step 2: Convert to fraction form
   10,014.85/13,821.21 = 5,538.52/x
3. Step 3: Cross multiply
   10,014.85x = 13,821.21 × 5,538.52
4. Step 4: Simplify right side
   10,014.85x = 76,549,048.01
5. Step 5: Solve for x
   x = 76,549,048.01/10,014.85
6. Step 6: Final answer
   x = 7,643.55