Finding the Fourth Proportional to 1,410.66, 2,112.78 and 680.76

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.66 : 2,112.78 = 680.76 : x
2. Step 2: Convert to fraction form
   1,410.66/2,112.78 = 680.76/x
3. Step 3: Cross multiply
   1,410.66x = 2,112.78 × 680.76
4. Step 4: Simplify right side
   1,410.66x = 1,438,296.11
5. Step 5: Solve for x
   x = 1,438,296.11/1,410.66
6. Step 6: Final answer
   x = 1,019.59