Finding the Fourth Proportional to 1,411.83, 1,948.39 and 822.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.83 : 1,948.39 = 822.42 : x
2. Step 2: Convert to fraction form
   1,411.83/1,948.39 = 822.42/x
3. Step 3: Cross multiply
   1,411.83x = 1,948.39 × 822.42
4. Step 4: Simplify right side
   1,411.83x = 1,602,392.85
5. Step 5: Solve for x
   x = 1,602,392.85/1,411.83
6. Step 6: Final answer
   x = 1,134.98