Finding the Fourth Proportional to 1,012.42, 1,519.27 and 580.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,012.42 : 1,519.27 = 580.42 : x
2. Step 2: Convert to fraction form
   1,012.42/1,519.27 = 580.42/x
3. Step 3: Cross multiply
   1,012.42x = 1,519.27 × 580.42
4. Step 4: Simplify right side
   1,012.42x = 881,814.69
5. Step 5: Solve for x
   x = 881,814.69/1,012.42
6. Step 6: Final answer
   x = 871.00