Finding the Fourth Proportional to 2,478.57, 3,411.84 and 2,142.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,478.57 : 3,411.84 = 2,142.32 : x
2. Step 2: Convert to fraction form
   2,478.57/3,411.84 = 2,142.32/x
3. Step 3: Cross multiply
   2,478.57x = 3,411.84 × 2,142.32
4. Step 4: Simplify right side
   2,478.57x = 7,309,236.01
5. Step 5: Solve for x
   x = 7,309,236.01/2,478.57
6. Step 6: Final answer
   x = 2,948.97