Finding the Fourth Proportional to 1,411.96, 1,948.47 and 822.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.96 : 1,948.47 = 822.61 : x
2. Step 2: Convert to fraction form
   1,411.96/1,948.47 = 822.61/x
3. Step 3: Cross multiply
   1,411.96x = 1,948.47 × 822.61
4. Step 4: Simplify right side
   1,411.96x = 1,602,830.91
5. Step 5: Solve for x
   x = 1,602,830.91/1,411.96
6. Step 6: Final answer
   x = 1,135.18