Finding the Fourth Proportional to 1,345.23, 1,856.45 and 755.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.23 : 1,856.45 = 755.75 : x
2. Step 2: Convert to fraction form
   1,345.23/1,856.45 = 755.75/x
3. Step 3: Cross multiply
   1,345.23x = 1,856.45 × 755.75
4. Step 4: Simplify right side
   1,345.23x = 1,403,018.62
5. Step 5: Solve for x
   x = 1,403,018.62/1,345.23
6. Step 6: Final answer
   x = 1,042.96