Finding the Fourth Proportional to 1,010.89, 1,514.31 and 462.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010.89 : 1,514.31 = 462.32 : x
2. Step 2: Convert to fraction form
   1,010.89/1,514.31 = 462.32/x
3. Step 3: Cross multiply
   1,010.89x = 1,514.31 × 462.32
4. Step 4: Simplify right side
   1,010.89x = 700,095.80
5. Step 5: Solve for x
   x = 700,095.80/1,010.89
6. Step 6: Final answer
   x = 692.55