Finding the Fourth Proportional to 1,300.80, 1,949.65 and 684.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.80 : 1,949.65 = 684.19 : x
2. Step 2: Convert to fraction form
   1,300.80/1,949.65 = 684.19/x
3. Step 3: Cross multiply
   1,300.80x = 1,949.65 × 684.19
4. Step 4: Simplify right side
   1,300.80x = 1,333,935.61
5. Step 5: Solve for x
   x = 1,333,935.61/1,300.80
6. Step 6: Final answer
   x = 1,025.47