Finding the Fourth Proportional to 1,381.81, 1,906.73 and 822.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.81 : 1,906.73 = 822.46 : x
2. Step 2: Convert to fraction form
   1,381.81/1,906.73 = 822.46/x
3. Step 3: Cross multiply
   1,381.81x = 1,906.73 × 822.46
4. Step 4: Simplify right side
   1,381.81x = 1,568,199.62
5. Step 5: Solve for x
   x = 1,568,199.62/1,381.81
6. Step 6: Final answer
   x = 1,134.89