Finding the Fourth Proportional to 1,216.22, 1,677.86 and 773.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.22 : 1,677.86 = 773.89 : x
2. Step 2: Convert to fraction form
   1,216.22/1,677.86 = 773.89/x
3. Step 3: Cross multiply
   1,216.22x = 1,677.86 × 773.89
4. Step 4: Simplify right side
   1,216.22x = 1,298,471.01
5. Step 5: Solve for x
   x = 1,298,471.01/1,216.22
6. Step 6: Final answer
   x = 1,067.63