Finding the Fourth Proportional to 1,009.38, 1,514.67 and 461.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.38 : 1,514.67 = 461.82 : x
2. Step 2: Convert to fraction form
   1,009.38/1,514.67 = 461.82/x
3. Step 3: Cross multiply
   1,009.38x = 1,514.67 × 461.82
4. Step 4: Simplify right side
   1,009.38x = 699,504.90
5. Step 5: Solve for x
   x = 699,504.90/1,009.38
6. Step 6: Final answer
   x = 693.00