Finding the Fourth Proportional to 10,014.80, 13,820.36 and 5,538.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,014.80 : 13,820.36 = 5,538.47 : x
2. Step 2: Convert to fraction form
   10,014.80/13,820.36 = 5,538.47/x
3. Step 3: Cross multiply
   10,014.80x = 13,820.36 × 5,538.47
4. Step 4: Simplify right side
   10,014.80x = 76,543,552.46
5. Step 5: Solve for x
   x = 76,543,552.46/10,014.80
6. Step 6: Final answer
   x = 7,643.05