Finding the Fourth Proportional to 1,092.15, 1,506.42 and 796.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.15 : 1,506.42 = 796.95 : x
2. Step 2: Convert to fraction form
   1,092.15/1,506.42 = 796.95/x
3. Step 3: Cross multiply
   1,092.15x = 1,506.42 × 796.95
4. Step 4: Simplify right side
   1,092.15x = 1,200,541.42
5. Step 5: Solve for x
   x = 1,200,541.42/1,092.15
6. Step 6: Final answer
   x = 1,099.25