Finding the Fourth Proportional to 1,185.05, 1,775.31 and 746.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.05 : 1,775.31 = 746.78 : x
2. Step 2: Convert to fraction form
   1,185.05/1,775.31 = 746.78/x
3. Step 3: Cross multiply
   1,185.05x = 1,775.31 × 746.78
4. Step 4: Simplify right side
   1,185.05x = 1,325,757.13
5. Step 5: Solve for x
   x = 1,325,757.13/1,185.05
6. Step 6: Final answer
   x = 1,118.74