Finding the Fourth Proportional to 1,406.53, 2,111.36 and 822.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.53 : 2,111.36 = 822.22 : x
2. Step 2: Convert to fraction form
   1,406.53/2,111.36 = 822.22/x
3. Step 3: Cross multiply
   1,406.53x = 2,111.36 × 822.22
4. Step 4: Simplify right side
   1,406.53x = 1,736,002.42
5. Step 5: Solve for x
   x = 1,736,002.42/1,406.53
6. Step 6: Final answer
   x = 1,234.24