Finding the Fourth Proportional to 1,023.83, 1,412.93 and 581.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.83 : 1,412.93 = 581.78 : x
2. Step 2: Convert to fraction form
   1,023.83/1,412.93 = 581.78/x
3. Step 3: Cross multiply
   1,023.83x = 1,412.93 × 581.78
4. Step 4: Simplify right side
   1,023.83x = 822,011.45
5. Step 5: Solve for x
   x = 822,011.45/1,023.83
6. Step 6: Final answer
   x = 802.88