Finding the Fourth Proportional to 1,514.59, 2,270.17 and 821.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,514.59 : 2,270.17 = 821.58 : x
2. Step 2: Convert to fraction form
   1,514.59/2,270.17 = 821.58/x
3. Step 3: Cross multiply
   1,514.59x = 2,270.17 × 821.58
4. Step 4: Simplify right side
   1,514.59x = 1,865,126.27
5. Step 5: Solve for x
   x = 1,865,126.27/1,514.59
6. Step 6: Final answer
   x = 1,231.44