Finding the Fourth Proportional to 1,208.78, 1,667.87 and 766.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,208.78 : 1,667.87 = 766.82 : x
2. Step 2: Convert to fraction form
   1,208.78/1,667.87 = 766.82/x
3. Step 3: Cross multiply
   1,208.78x = 1,667.87 × 766.82
4. Step 4: Simplify right side
   1,208.78x = 1,278,943.90
5. Step 5: Solve for x
   x = 1,278,943.90/1,208.78
6. Step 6: Final answer
   x = 1,058.05