Finding the Fourth Proportional to 1,412.31, 1,948.88 and 822.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.31 : 1,948.88 = 822.77 : x
2. Step 2: Convert to fraction form
   1,412.31/1,948.88 = 822.77/x
3. Step 3: Cross multiply
   1,412.31x = 1,948.88 × 822.77
4. Step 4: Simplify right side
   1,412.31x = 1,603,472.31
5. Step 5: Solve for x
   x = 1,603,472.31/1,412.31
6. Step 6: Final answer
   x = 1,135.35