Finding the Fourth Proportional to 1,412.14, 1,948.98 and 822.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.14 : 1,948.98 = 822.82 : x
2. Step 2: Convert to fraction form
   1,412.14/1,948.98 = 822.82/x
3. Step 3: Cross multiply
   1,412.14x = 1,948.98 × 822.82
4. Step 4: Simplify right side
   1,412.14x = 1,603,659.72
5. Step 5: Solve for x
   x = 1,603,659.72/1,412.14
6. Step 6: Final answer
   x = 1,135.62