Finding the Fourth Proportional to 1,362.17, 1,879.83 and 772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,362.17 : 1,879.83 = 772.75 : x
2. Step 2: Convert to fraction form
   1,362.17/1,879.83 = 772.75/x
3. Step 3: Cross multiply
   1,362.17x = 1,879.83 × 772.75
4. Step 4: Simplify right side
   1,362.17x = 1,452,638.63
5. Step 5: Solve for x
   x = 1,452,638.63/1,362.17
6. Step 6: Final answer
   x = 1,066.42