Finding the Fourth Proportional to 1,345.14, 1,856.15 and 755.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.14 : 1,856.15 = 755.54 : x
2. Step 2: Convert to fraction form
   1,345.14/1,856.15 = 755.54/x
3. Step 3: Cross multiply
   1,345.14x = 1,856.15 × 755.54
4. Step 4: Simplify right side
   1,345.14x = 1,402,395.57
5. Step 5: Solve for x
   x = 1,402,395.57/1,345.14
6. Step 6: Final answer
   x = 1,042.56