Finding the Fourth Proportional to 10,018.06, 13,824.60 and 5,541.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,018.06 : 13,824.60 = 5,541.82 : x
2. Step 2: Convert to fraction form
   10,018.06/13,824.60 = 5,541.82/x
3. Step 3: Cross multiply
   10,018.06x = 13,824.60 × 5,541.82
4. Step 4: Simplify right side
   10,018.06x = 76,613,444.77
5. Step 5: Solve for x
   x = 76,613,444.77/10,018.06
6. Step 6: Final answer
   x = 7,647.53