Finding the Fourth Proportional to 1,009.25, 1,514.37 and 461.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.25 : 1,514.37 = 461.31 : x
2. Step 2: Convert to fraction form
   1,009.25/1,514.37 = 461.31/x
3. Step 3: Cross multiply
   1,009.25x = 1,514.37 × 461.31
4. Step 4: Simplify right side
   1,009.25x = 698,594.02
5. Step 5: Solve for x
   x = 698,594.02/1,009.25
6. Step 6: Final answer
   x = 692.19