Finding the Fourth Proportional to 1,381.57, 1,906.31 and 822.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.57 : 1,906.31 = 822.18 : x
2. Step 2: Convert to fraction form
   1,381.57/1,906.31 = 822.18/x
3. Step 3: Cross multiply
   1,381.57x = 1,906.31 × 822.18
4. Step 4: Simplify right side
   1,381.57x = 1,567,329.96
5. Step 5: Solve for x
   x = 1,567,329.96/1,381.57
6. Step 6: Final answer
   x = 1,134.46