Finding the Fourth Proportional to 1,411.71, 1,948.28 and 822.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.71 : 1,948.28 = 822.43 : x
2. Step 2: Convert to fraction form
   1,411.71/1,948.28 = 822.43/x
3. Step 3: Cross multiply
   1,411.71x = 1,948.28 × 822.43
4. Step 4: Simplify right side
   1,411.71x = 1,602,323.92
5. Step 5: Solve for x
   x = 1,602,323.92/1,411.71
6. Step 6: Final answer
   x = 1,135.02