Finding the Fourth Proportional to 2,524.92, 3,784.56 and 1,906.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,524.92 : 3,784.56 = 1,906.62 : x
2. Step 2: Convert to fraction form
   2,524.92/3,784.56 = 1,906.62/x
3. Step 3: Cross multiply
   2,524.92x = 3,784.56 × 1,906.62
4. Step 4: Simplify right side
   2,524.92x = 7,215,717.79
5. Step 5: Solve for x
   x = 7,215,717.79/2,524.92
6. Step 6: Final answer
   x = 2,857.80