Finding the Fourth Proportional to 1,194.72, 1,648.10 and 774.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194.72 : 1,648.10 = 774.54 : x
2. Step 2: Convert to fraction form
   1,194.72/1,648.10 = 774.54/x
3. Step 3: Cross multiply
   1,194.72x = 1,648.10 × 774.54
4. Step 4: Simplify right side
   1,194.72x = 1,276,519.37
5. Step 5: Solve for x
   x = 1,276,519.37/1,194.72
6. Step 6: Final answer
   x = 1,068.47