Finding the Fourth Proportional to 10,018.40, 13,824.14 and 5,541.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.40 : 13,824.14 = 5,541.53 : x
2. Step 2: Convert to fraction form
   10,018.40/13,824.14 = 5,541.53/x
3. Step 3: Cross multiply
   10,018.40x = 13,824.14 × 5,541.53
4. Step 4: Simplify right side
   10,018.40x = 76,606,789.71
5. Step 5: Solve for x
   x = 76,606,789.71/10,018.40
6. Step 6: Final answer
   x = 7,646.61