Finding the Fourth Proportional to 1,381.58, 1,906.56 and 822.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.58 : 1,906.56 = 822.32 : x
2. Step 2: Convert to fraction form
   1,381.58/1,906.56 = 822.32/x
3. Step 3: Cross multiply
   1,381.58x = 1,906.56 × 822.32
4. Step 4: Simplify right side
   1,381.58x = 1,567,802.42
5. Step 5: Solve for x
   x = 1,567,802.42/1,381.58
6. Step 6: Final answer
   x = 1,134.79