Finding the Fourth Proportional to 1,023.30, 1,412.24 and 581.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.30 : 1,412.24 = 581.34 : x
2. Step 2: Convert to fraction form
   1,023.30/1,412.24 = 581.34/x
3. Step 3: Cross multiply
   1,023.30x = 1,412.24 × 581.34
4. Step 4: Simplify right side
   1,023.30x = 820,988.69
5. Step 5: Solve for x
   x = 820,988.69/1,023.30
6. Step 6: Final answer
   x = 802.30