Finding the Fourth Proportional to 1,676.50, 2,514.71 and 581.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,676.50 : 2,514.71 = 581.62 : x
2. Step 2: Convert to fraction form
   1,676.50/2,514.71 = 581.62/x
3. Step 3: Cross multiply
   1,676.50x = 2,514.71 × 581.62
4. Step 4: Simplify right side
   1,676.50x = 1,462,605.63
5. Step 5: Solve for x
   x = 1,462,605.63/1,676.50
6. Step 6: Final answer
   x = 872.42