Finding the Fourth Proportional to 1,411.74, 1,948.23 and 822.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.74 : 1,948.23 = 822.33 : x
2. Step 2: Convert to fraction form
   1,411.74/1,948.23 = 822.33/x
3. Step 3: Cross multiply
   1,411.74x = 1,948.23 × 822.33
4. Step 4: Simplify right side
   1,411.74x = 1,602,087.98
5. Step 5: Solve for x
   x = 1,602,087.98/1,411.74
6. Step 6: Final answer
   x = 1,134.83