Finding the Fourth Proportional to 1,189.28, 1,775.18 and 1,105.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,189.28 : 1,775.18 = 1,105.72 : x
2. Step 2: Convert to fraction form
   1,189.28/1,775.18 = 1,105.72/x
3. Step 3: Cross multiply
   1,189.28x = 1,775.18 × 1,105.72
4. Step 4: Simplify right side
   1,189.28x = 1,962,850.36
5. Step 5: Solve for x
   x = 1,962,850.36/1,189.28
6. Step 6: Final answer
   x = 1,650.45