Finding the Fourth Proportional to 1,216.76, 1,678.52 and 774.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,216.76 : 1,678.52 = 774.79 : x
2. Step 2: Convert to fraction form
   1,216.76/1,678.52 = 774.79/x
3. Step 3: Cross multiply
   1,216.76x = 1,678.52 × 774.79
4. Step 4: Simplify right side
   1,216.76x = 1,300,498.25
5. Step 5: Solve for x
   x = 1,300,498.25/1,216.76
6. Step 6: Final answer
   x = 1,068.83