Finding the Fourth Proportional to 10,018.49, 13,824.39 and 5,541.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.49 : 13,824.39 = 5,541.62 : x
2. Step 2: Convert to fraction form
   10,018.49/13,824.39 = 5,541.62/x
3. Step 3: Cross multiply
   10,018.49x = 13,824.39 × 5,541.62
4. Step 4: Simplify right side
   10,018.49x = 76,609,550.67
5. Step 5: Solve for x
   x = 76,609,550.67/10,018.49
6. Step 6: Final answer
   x = 7,646.81