Finding the Fourth Proportional to 1,410.24, 2,114.14 and 678.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.24 : 2,114.14 = 678.81 : x
2. Step 2: Convert to fraction form
   1,410.24/2,114.14 = 678.81/x
3. Step 3: Cross multiply
   1,410.24x = 2,114.14 × 678.81
4. Step 4: Simplify right side
   1,410.24x = 1,435,099.37
5. Step 5: Solve for x
   x = 1,435,099.37/1,410.24
6. Step 6: Final answer
   x = 1,017.63