Finding the Fourth Proportional to 1,023.82, 1,412.77 and 581.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.82 : 1,412.77 = 581.56 : x
2. Step 2: Convert to fraction form
   1,023.82/1,412.77 = 581.56/x
3. Step 3: Cross multiply
   1,023.82x = 1,412.77 × 581.56
4. Step 4: Simplify right side
   1,023.82x = 821,610.52
5. Step 5: Solve for x
   x = 821,610.52/1,023.82
6. Step 6: Final answer
   x = 802.50