Finding the Fourth Proportional to 2,041.16, 3,061.40 and 580.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,041.16 : 3,061.40 = 580.42 : x
2. Step 2: Convert to fraction form
   2,041.16/3,061.40 = 580.42/x
3. Step 3: Cross multiply
   2,041.16x = 3,061.40 × 580.42
4. Step 4: Simplify right side
   2,041.16x = 1,776,879.58
5. Step 5: Solve for x
   x = 1,776,879.58/2,041.16
6. Step 6: Final answer
   x = 870.52