Finding the Fourth Proportional to 1,009.98, 1,514.25 and 815.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.98 : 1,514.25 = 815.22 : x
2. Step 2: Convert to fraction form
   1,009.98/1,514.25 = 815.22/x
3. Step 3: Cross multiply
   1,009.98x = 1,514.25 × 815.22
4. Step 4: Simplify right side
   1,009.98x = 1,234,446.89
5. Step 5: Solve for x
   x = 1,234,446.89/1,009.98
6. Step 6: Final answer
   x = 1,222.25