Finding the Fourth Proportional to 1,377.69, 2,065.96 and 684.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.69 : 2,065.96 = 684.10 : x
2. Step 2: Convert to fraction form
   1,377.69/2,065.96 = 684.10/x
3. Step 3: Cross multiply
   1,377.69x = 2,065.96 × 684.10
4. Step 4: Simplify right side
   1,377.69x = 1,413,323.24
5. Step 5: Solve for x
   x = 1,413,323.24/1,377.69
6. Step 6: Final answer
   x = 1,025.86