Finding the Fourth Proportional to 1,362.15, 1,879.76 and 772.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362.15 : 1,879.76 = 772.65 : x
2. Step 2: Convert to fraction form
   1,362.15/1,879.76 = 772.65/x
3. Step 3: Cross multiply
   1,362.15x = 1,879.76 × 772.65
4. Step 4: Simplify right side
   1,362.15x = 1,452,398.50
5. Step 5: Solve for x
   x = 1,452,398.50/1,362.15
6. Step 6: Final answer
   x = 1,066.25