Finding the Fourth Proportional to 1,411.47, 2,114.37 and 678.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,411.47 : 2,114.37 = 678.87 : x
2. Step 2: Convert to fraction form
   1,411.47/2,114.37 = 678.87/x
3. Step 3: Cross multiply
   1,411.47x = 2,114.37 × 678.87
4. Step 4: Simplify right side
   1,411.47x = 1,435,382.36
5. Step 5: Solve for x
   x = 1,435,382.36/1,411.47
6. Step 6: Final answer
   x = 1,016.94