Finding the Fourth Proportional to 1,100.72, 1,649.25 and 775.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,100.72 : 1,649.25 = 775.40 : x
2. Step 2: Convert to fraction form
   1,100.72/1,649.25 = 775.40/x
3. Step 3: Cross multiply
   1,100.72x = 1,649.25 × 775.40
4. Step 4: Simplify right side
   1,100.72x = 1,278,828.45
5. Step 5: Solve for x
   x = 1,278,828.45/1,100.72
6. Step 6: Final answer
   x = 1,161.81