Finding the Fourth Proportional to 2,051.46, 3,076.23 and 682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,051.46 : 3,076.23 = 682.50 : x
2. Step 2: Convert to fraction form
   2,051.46/3,076.23 = 682.50/x
3. Step 3: Cross multiply
   2,051.46x = 3,076.23 × 682.50
4. Step 4: Simplify right side
   2,051.46x = 2,099,526.98
5. Step 5: Solve for x
   x = 2,099,526.98/2,051.46
6. Step 6: Final answer
   x = 1,023.43