Finding the Fourth Proportional to 1,411.67, 1,948.30 and 822.11

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.67 : 1,948.30 = 822.11 : x
2. Step 2: Convert to fraction form
   1,411.67/1,948.30 = 822.11/x
3. Step 3: Cross multiply
   1,411.67x = 1,948.30 × 822.11
4. Step 4: Simplify right side
   1,411.67x = 1,601,705.12
5. Step 5: Solve for x
   x = 1,601,705.12/1,411.67
6. Step 6: Final answer
   x = 1,134.62