Finding the Fourth Proportional to 1,411.64, 1,948.38 and 822.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.64 : 1,948.38 = 822.26 : x
2. Step 2: Convert to fraction form
   1,411.64/1,948.38 = 822.26/x
3. Step 3: Cross multiply
   1,411.64x = 1,948.38 × 822.26
4. Step 4: Simplify right side
   1,411.64x = 1,602,074.94
5. Step 5: Solve for x
   x = 1,602,074.94/1,411.64
6. Step 6: Final answer
   x = 1,134.90