Finding the Fourth Proportional to 2,530.96, 3,796.71 and 682.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,530.96 : 3,796.71 = 682.10 : x
2. Step 2: Convert to fraction form
   2,530.96/3,796.71 = 682.10/x
3. Step 3: Cross multiply
   2,530.96x = 3,796.71 × 682.10
4. Step 4: Simplify right side
   2,530.96x = 2,589,728.59
5. Step 5: Solve for x
   x = 2,589,728.59/2,530.96
6. Step 6: Final answer
   x = 1,023.22