Finding the Fourth Proportional to 2,042.64, 3,064.41 and 581.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042.64 : 3,064.41 = 581.91 : x
2. Step 2: Convert to fraction form
   2,042.64/3,064.41 = 581.91/x
3. Step 3: Cross multiply
   2,042.64x = 3,064.41 × 581.91
4. Step 4: Simplify right side
   2,042.64x = 1,783,210.82
5. Step 5: Solve for x
   x = 1,783,210.82/2,042.64
6. Step 6: Final answer
   x = 872.99