Finding the Fourth Proportional to 1,406.31, 1,942.62 and 1,222.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.31 : 1,942.62 = 1,222.23 : x
2. Step 2: Convert to fraction form
   1,406.31/1,942.62 = 1,222.23/x
3. Step 3: Cross multiply
   1,406.31x = 1,942.62 × 1,222.23
4. Step 4: Simplify right side
   1,406.31x = 2,374,328.44
5. Step 5: Solve for x
   x = 2,374,328.44/1,406.31
6. Step 6: Final answer
   x = 1,688.34