Finding the Fourth Proportional to 1,409.40, 2,111.72 and 677.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.40 : 2,111.72 = 677.38 : x
2. Step 2: Convert to fraction form
   1,409.40/2,111.72 = 677.38/x
3. Step 3: Cross multiply
   1,409.40x = 2,111.72 × 677.38
4. Step 4: Simplify right side
   1,409.40x = 1,430,436.89
5. Step 5: Solve for x
   x = 1,430,436.89/1,409.40
6. Step 6: Final answer
   x = 1,014.93