Finding the Fourth Proportional to 1,411.98, 1,948.55 and 822.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.98 : 1,948.55 = 822.57 : x
2. Step 2: Convert to fraction form
   1,411.98/1,948.55 = 822.57/x
3. Step 3: Cross multiply
   1,411.98x = 1,948.55 × 822.57
4. Step 4: Simplify right side
   1,411.98x = 1,602,814.66
5. Step 5: Solve for x
   x = 1,602,814.66/1,411.98
6. Step 6: Final answer
   x = 1,135.15