Finding the Fourth Proportional to 1,344.90, 1,856.00 and 755.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,344.90 : 1,856.00 = 755.42 : x
2. Step 2: Convert to fraction form
   1,344.90/1,856.00 = 755.42/x
3. Step 3: Cross multiply
   1,344.90x = 1,856.00 × 755.42
4. Step 4: Simplify right side
   1,344.90x = 1,402,055.74
5. Step 5: Solve for x
   x = 1,402,055.74/1,344.90
6. Step 6: Final answer
   x = 1,042.50