Finding the Fourth Proportional to 1,359.90, 2,040.42 and 580.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,359.90 : 2,040.42 = 580.42 : x
2. Step 2: Convert to fraction form
   1,359.90/2,040.42 = 580.42/x
3. Step 3: Cross multiply
   1,359.90x = 2,040.42 × 580.42
4. Step 4: Simplify right side
   1,359.90x = 1,184,300.58
5. Step 5: Solve for x
   x = 1,184,300.58/1,359.90
6. Step 6: Final answer
   x = 870.87