Finding the Fourth Proportional to 1,344.78, 1,855.88 and 755.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.78 : 1,855.88 = 755.35 : x
2. Step 2: Convert to fraction form
   1,344.78/1,855.88 = 755.35/x
3. Step 3: Cross multiply
   1,344.78x = 1,855.88 × 755.35
4. Step 4: Simplify right side
   1,344.78x = 1,401,838.96
5. Step 5: Solve for x
   x = 1,401,838.96/1,344.78
6. Step 6: Final answer
   x = 1,042.43