Finding the Fourth Proportional to 10,018.13, 13,824.47 and 5,541.62

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.13 : 13,824.47 = 5,541.62 : x
2. Step 2: Convert to fraction form
   10,018.13/13,824.47 = 5,541.62/x
3. Step 3: Cross multiply
   10,018.13x = 13,824.47 × 5,541.62
4. Step 4: Simplify right side
   10,018.13x = 76,609,904.17
5. Step 5: Solve for x
   x = 76,609,904.17/10,018.13
6. Step 6: Final answer
   x = 7,647.13