Finding the Fourth Proportional to 1,377.59, 2,064.62 and 684.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,377.59 : 2,064.62 = 684.50 : x
2. Step 2: Convert to fraction form
   1,377.59/2,064.62 = 684.50/x
3. Step 3: Cross multiply
   1,377.59x = 2,064.62 × 684.50
4. Step 4: Simplify right side
   1,377.59x = 1,413,223.78
5. Step 5: Solve for x
   x = 1,413,223.78/1,377.59
6. Step 6: Final answer
   x = 1,025.87