Finding the Fourth Proportional to 1,406.94, 2,109.72 and 822.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.94 : 2,109.72 = 822.14 : x
2. Step 2: Convert to fraction form
   1,406.94/2,109.72 = 822.14/x
3. Step 3: Cross multiply
   1,406.94x = 2,109.72 × 822.14
4. Step 4: Simplify right side
   1,406.94x = 1,734,485.20
5. Step 5: Solve for x
   x = 1,734,485.20/1,406.94
6. Step 6: Final answer
   x = 1,232.81