Finding the Fourth Proportional to 1,862.86, 2,793.68 and 822.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,862.86 : 2,793.68 = 822.82 : x
2. Step 2: Convert to fraction form
   1,862.86/2,793.68 = 822.82/x
3. Step 3: Cross multiply
   1,862.86x = 2,793.68 × 822.82
4. Step 4: Simplify right side
   1,862.86x = 2,298,695.78
5. Step 5: Solve for x
   x = 2,298,695.78/1,862.86
6. Step 6: Final answer
   x = 1,233.96