Finding the Fourth Proportional to 2,070.71, 3,105.40 and 683.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,070.71 : 3,105.40 = 683.78 : x
2. Step 2: Convert to fraction form
   2,070.71/3,105.40 = 683.78/x
3. Step 3: Cross multiply
   2,070.71x = 3,105.40 × 683.78
4. Step 4: Simplify right side
   2,070.71x = 2,123,416.47
5. Step 5: Solve for x
   x = 2,123,416.47/2,070.71
6. Step 6: Final answer
   x = 1,025.46