Finding the Fourth Proportional to 1,780.34, 2,669.25 and 683.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780.34 : 2,669.25 = 683.78 : x
2. Step 2: Convert to fraction form
   1,780.34/2,669.25 = 683.78/x
3. Step 3: Cross multiply
   1,780.34x = 2,669.25 × 683.78
4. Step 4: Simplify right side
   1,780.34x = 1,825,179.77
5. Step 5: Solve for x
   x = 1,825,179.77/1,780.34
6. Step 6: Final answer
   x = 1,025.19