Finding the Fourth Proportional to 1,162.55, 1,744.10 and 340.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,162.55 : 1,744.10 = 340.81 : x
2. Step 2: Convert to fraction form
   1,162.55/1,744.10 = 340.81/x
3. Step 3: Cross multiply
   1,162.55x = 1,744.10 × 340.81
4. Step 4: Simplify right side
   1,162.55x = 594,401.93
5. Step 5: Solve for x
   x = 594,401.93/1,162.55
6. Step 6: Final answer
   x = 511.29