Finding the Fourth Proportional to 2,820.89, 3,892.74 and 1,642.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,820.89 : 3,892.74 = 1,642.61 : x
2. Step 2: Convert to fraction form
   2,820.89/3,892.74 = 1,642.61/x
3. Step 3: Cross multiply
   2,820.89x = 3,892.74 × 1,642.61
4. Step 4: Simplify right side
   2,820.89x = 6,394,234.19
5. Step 5: Solve for x
   x = 6,394,234.19/2,820.89
6. Step 6: Final answer
   x = 2,266.75