Finding the Fourth Proportional to 1,406.93, 2,111.90 and 822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.93 : 2,111.90 = 822.56 : x
2. Step 2: Convert to fraction form
   1,406.93/2,111.90 = 822.56/x
3. Step 3: Cross multiply
   1,406.93x = 2,111.90 × 822.56
4. Step 4: Simplify right side
   1,406.93x = 1,737,149.79
5. Step 5: Solve for x
   x = 1,737,149.79/1,406.93
6. Step 6: Final answer
   x = 1,234.71