Finding the Fourth Proportional to 1,018.22, 1,516.18 and 1,005.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,018.22 : 1,516.18 = 1,005.89 : x
2. Step 2: Convert to fraction form
   1,018.22/1,516.18 = 1,005.89/x
3. Step 3: Cross multiply
   1,018.22x = 1,516.18 × 1,005.89
4. Step 4: Simplify right side
   1,018.22x = 1,525,110.30
5. Step 5: Solve for x
   x = 1,525,110.30/1,018.22
6. Step 6: Final answer
   x = 1,497.82