Finding the Fourth Proportional to 1,411.72, 1,948.17 and 822.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.72 : 1,948.17 = 822.65 : x
2. Step 2: Convert to fraction form
   1,411.72/1,948.17 = 822.65/x
3. Step 3: Cross multiply
   1,411.72x = 1,948.17 × 822.65
4. Step 4: Simplify right side
   1,411.72x = 1,602,662.05
5. Step 5: Solve for x
   x = 1,602,662.05/1,411.72
6. Step 6: Final answer
   x = 1,135.25