Finding the Fourth Proportional to 2,892.16, 3,987.57 and 2,414.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,892.16 : 3,987.57 = 2,414.31 : x
2. Step 2: Convert to fraction form
   2,892.16/3,987.57 = 2,414.31/x
3. Step 3: Cross multiply
   2,892.16x = 3,987.57 × 2,414.31
4. Step 4: Simplify right side
   2,892.16x = 9,627,230.13
5. Step 5: Solve for x
   x = 9,627,230.13/2,892.16
6. Step 6: Final answer
   x = 3,328.73