Finding the Fourth Proportional to 1,345.36, 1,856.47 and 755.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.36 : 1,856.47 = 755.78 : x
2. Step 2: Convert to fraction form
   1,345.36/1,856.47 = 755.78/x
3. Step 3: Cross multiply
   1,345.36x = 1,856.47 × 755.78
4. Step 4: Simplify right side
   1,345.36x = 1,403,082.90
5. Step 5: Solve for x
   x = 1,403,082.90/1,345.36
6. Step 6: Final answer
   x = 1,042.91