Finding the Fourth Proportional to 1,381.30, 1,906.16 and 791.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.30 : 1,906.16 = 791.82 : x
2. Step 2: Convert to fraction form
   1,381.30/1,906.16 = 791.82/x
3. Step 3: Cross multiply
   1,381.30x = 1,906.16 × 791.82
4. Step 4: Simplify right side
   1,381.30x = 1,509,335.61
5. Step 5: Solve for x
   x = 1,509,335.61/1,381.30
6. Step 6: Final answer
   x = 1,092.69