Finding the Fourth Proportional to 2,820.54, 3,892.82 and 1,642.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,820.54 : 3,892.82 = 1,642.31 : x
2. Step 2: Convert to fraction form
   2,820.54/3,892.82 = 1,642.31/x
3. Step 3: Cross multiply
   2,820.54x = 3,892.82 × 1,642.31
4. Step 4: Simplify right side
   2,820.54x = 6,393,217.21
5. Step 5: Solve for x
   x = 6,393,217.21/2,820.54
6. Step 6: Final answer
   x = 2,266.66