Finding the Fourth Proportional to 1,100.00, 1,648.17 and 774.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.00 : 1,648.17 = 774.78 : x
2. Step 2: Convert to fraction form
   1,100.00/1,648.17 = 774.78/x
3. Step 3: Cross multiply
   1,100.00x = 1,648.17 × 774.78
4. Step 4: Simplify right side
   1,100.00x = 1,276,969.15
5. Step 5: Solve for x
   x = 1,276,969.15/1,100.00
6. Step 6: Final answer
   x = 1,160.89