Finding the Fourth Proportional to 1,412.39, 1,948.48 and 822.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.39 : 1,948.48 = 822.81 : x
2. Step 2: Convert to fraction form
   1,412.39/1,948.48 = 822.81/x
3. Step 3: Cross multiply
   1,412.39x = 1,948.48 × 822.81
4. Step 4: Simplify right side
   1,412.39x = 1,603,225.43
5. Step 5: Solve for x
   x = 1,603,225.43/1,412.39
6. Step 6: Final answer
   x = 1,135.12