Finding the Fourth Proportional to 1,114.94, 1,669.98 and 680.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,114.94 : 1,669.98 = 680.78 : x
2. Step 2: Convert to fraction form
   1,114.94/1,669.98 = 680.78/x
3. Step 3: Cross multiply
   1,114.94x = 1,669.98 × 680.78
4. Step 4: Simplify right side
   1,114.94x = 1,136,888.98
5. Step 5: Solve for x
   x = 1,136,888.98/1,114.94
6. Step 6: Final answer
   x = 1,019.69