Finding the Fourth Proportional to 1,092.17, 1,506.16 and 843.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.17 : 1,506.16 = 843.10 : x
2. Step 2: Convert to fraction form
   1,092.17/1,506.16 = 843.10/x
3. Step 3: Cross multiply
   1,092.17x = 1,506.16 × 843.10
4. Step 4: Simplify right side
   1,092.17x = 1,269,831.75
5. Step 5: Solve for x
   x = 1,269,831.75/1,092.17
6. Step 6: Final answer
   x = 1,162.67