Finding the Fourth Proportional to 1,380.97, 1,905.78 and 791.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.97 : 1,905.78 = 791.62 : x
2. Step 2: Convert to fraction form
   1,380.97/1,905.78 = 791.62/x
3. Step 3: Cross multiply
   1,380.97x = 1,905.78 × 791.62
4. Step 4: Simplify right side
   1,380.97x = 1,508,644.03
5. Step 5: Solve for x
   x = 1,508,644.03/1,380.97
6. Step 6: Final answer
   x = 1,092.45