Finding the Fourth Proportional to 1,412.12, 1,948.98 and 822.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.12 : 1,948.98 = 822.72 : x
2. Step 2: Convert to fraction form
   1,412.12/1,948.98 = 822.72/x
3. Step 3: Cross multiply
   1,412.12x = 1,948.98 × 822.72
4. Step 4: Simplify right side
   1,412.12x = 1,603,464.83
5. Step 5: Solve for x
   x = 1,603,464.83/1,412.12
6. Step 6: Final answer
   x = 1,135.50