Finding the Fourth Proportional to 1,381.55, 1,906.45 and 822.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,381.55 : 1,906.45 = 822.06 : x
2. Step 2: Convert to fraction form
   1,381.55/1,906.45 = 822.06/x
3. Step 3: Cross multiply
   1,381.55x = 1,906.45 × 822.06
4. Step 4: Simplify right side
   1,381.55x = 1,567,218.07
5. Step 5: Solve for x
   x = 1,567,218.07/1,381.55
6. Step 6: Final answer
   x = 1,134.39