Finding the Fourth Proportional to 1,345.16, 1,855.86 and 755.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,345.16 : 1,855.86 = 755.57 : x
2. Step 2: Convert to fraction form
   1,345.16/1,855.86 = 755.57/x
3. Step 3: Cross multiply
   1,345.16x = 1,855.86 × 755.57
4. Step 4: Simplify right side
   1,345.16x = 1,402,222.86
5. Step 5: Solve for x
   x = 1,402,222.86/1,345.16
6. Step 6: Final answer
   x = 1,042.42