Finding the Fourth Proportional to 1,778.64, 2,665.56 and 791.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,778.64 : 2,665.56 = 791.10 : x
2. Step 2: Convert to fraction form
   1,778.64/2,665.56 = 791.10/x
3. Step 3: Cross multiply
   1,778.64x = 2,665.56 × 791.10
4. Step 4: Simplify right side
   1,778.64x = 2,108,724.52
5. Step 5: Solve for x
   x = 2,108,724.52/1,778.64
6. Step 6: Final answer
   x = 1,185.58