Finding the Fourth Proportional to 1,381.67, 1,906.15 and 791.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.67 : 1,906.15 = 791.89 : x
2. Step 2: Convert to fraction form
   1,381.67/1,906.15 = 791.89/x
3. Step 3: Cross multiply
   1,381.67x = 1,906.15 × 791.89
4. Step 4: Simplify right side
   1,381.67x = 1,509,461.12
5. Step 5: Solve for x
   x = 1,509,461.12/1,381.67
6. Step 6: Final answer
   x = 1,092.49