Finding the Fourth Proportional to 1,344.74, 1,855.71 and 755.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.74 : 1,855.71 = 755.30 : x
2. Step 2: Convert to fraction form
   1,344.74/1,855.71 = 755.30/x
3. Step 3: Cross multiply
   1,344.74x = 1,855.71 × 755.30
4. Step 4: Simplify right side
   1,344.74x = 1,401,617.76
5. Step 5: Solve for x
   x = 1,401,617.76/1,344.74
6. Step 6: Final answer
   x = 1,042.30