Finding the Fourth Proportional to 1,380.94, 1,905.78 and 791.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.94 : 1,905.78 = 791.46 : x
2. Step 2: Convert to fraction form
   1,380.94/1,905.78 = 791.46/x
3. Step 3: Cross multiply
   1,380.94x = 1,905.78 × 791.46
4. Step 4: Simplify right side
   1,380.94x = 1,508,348.64
5. Step 5: Solve for x
   x = 1,508,348.64/1,380.94
6. Step 6: Final answer
   x = 1,092.26