Finding the Fourth Proportional to 1,412.52, 1,949.13 and 822.93

Step by Step Solution

1. Step 1: Write the proportion equation
   1,412.52 : 1,949.13 = 822.93 : x
2. Step 2: Convert to fraction form
   1,412.52/1,949.13 = 822.93/x
3. Step 3: Cross multiply
   1,412.52x = 1,949.13 × 822.93
4. Step 4: Simplify right side
   1,412.52x = 1,603,997.55
5. Step 5: Solve for x
   x = 1,603,997.55/1,412.52
6. Step 6: Final answer
   x = 1,135.56