Finding the Fourth Proportional to 1,146.80, 1,715.94 and 684.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,146.80 : 1,715.94 = 684.82 : x
2. Step 2: Convert to fraction form
   1,146.80/1,715.94 = 684.82/x
3. Step 3: Cross multiply
   1,146.80x = 1,715.94 × 684.82
4. Step 4: Simplify right side
   1,146.80x = 1,175,110.03
5. Step 5: Solve for x
   x = 1,175,110.03/1,146.80
6. Step 6: Final answer
   x = 1,024.69