Finding the Fourth Proportional to 1,100.10, 1,648.32 and 774.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.10 : 1,648.32 = 774.79 : x
2. Step 2: Convert to fraction form
   1,100.10/1,648.32 = 774.79/x
3. Step 3: Cross multiply
   1,100.10x = 1,648.32 × 774.79
4. Step 4: Simplify right side
   1,100.10x = 1,277,101.85
5. Step 5: Solve for x
   x = 1,277,101.85/1,100.10
6. Step 6: Final answer
   x = 1,160.90