Finding the Fourth Proportional to 1,345.24, 1,856.40 and 755.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.24 : 1,856.40 = 755.76 : x
2. Step 2: Convert to fraction form
   1,345.24/1,856.40 = 755.76/x
3. Step 3: Cross multiply
   1,345.24x = 1,856.40 × 755.76
4. Step 4: Simplify right side
   1,345.24x = 1,402,992.86
5. Step 5: Solve for x
   x = 1,402,992.86/1,345.24
6. Step 6: Final answer
   x = 1,042.93