Finding the Fourth Proportional to 1,411.56, 1,948.29 and 822.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.56 : 1,948.29 = 822.18 : x
2. Step 2: Convert to fraction form
   1,411.56/1,948.29 = 822.18/x
3. Step 3: Cross multiply
   1,411.56x = 1,948.29 × 822.18
4. Step 4: Simplify right side
   1,411.56x = 1,601,845.07
5. Step 5: Solve for x
   x = 1,601,845.07/1,411.56
6. Step 6: Final answer
   x = 1,134.80