Finding the Fourth Proportional to 1,380.29, 1,905.26 and 791.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.29 : 1,905.26 = 791.42 : x
2. Step 2: Convert to fraction form
   1,380.29/1,905.26 = 791.42/x
3. Step 3: Cross multiply
   1,380.29x = 1,905.26 × 791.42
4. Step 4: Simplify right side
   1,380.29x = 1,507,847.39
5. Step 5: Solve for x
   x = 1,507,847.39/1,380.29
6. Step 6: Final answer
   x = 1,092.42