Finding the Fourth Proportional to 1,412.14, 1,948.72 and 822.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.14 : 1,948.72 = 822.67 : x
2. Step 2: Convert to fraction form
   1,412.14/1,948.72 = 822.67/x
3. Step 3: Cross multiply
   1,412.14x = 1,948.72 × 822.67
4. Step 4: Simplify right side
   1,412.14x = 1,603,153.48
5. Step 5: Solve for x
   x = 1,603,153.48/1,412.14
6. Step 6: Final answer
   x = 1,135.27