Finding the Fourth Proportional to 1,411.68, 1,948.16 and 822.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.68 : 1,948.16 = 822.16 : x
2. Step 2: Convert to fraction form
   1,411.68/1,948.16 = 822.16/x
3. Step 3: Cross multiply
   1,411.68x = 1,948.16 × 822.16
4. Step 4: Simplify right side
   1,411.68x = 1,601,699.23
5. Step 5: Solve for x
   x = 1,601,699.23/1,411.68
6. Step 6: Final answer
   x = 1,134.61