Finding the Fourth Proportional to 3,762.92, 5,192.78 and 2,084.39

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.92 : 5,192.78 = 2,084.39 : x
2. Step 2: Convert to fraction form
   3,762.92/5,192.78 = 2,084.39/x
3. Step 3: Cross multiply
   3,762.92x = 5,192.78 × 2,084.39
4. Step 4: Simplify right side
   3,762.92x = 10,823,742.32
5. Step 5: Solve for x
   x = 10,823,742.32/3,762.92
6. Step 6: Final answer
   x = 2,876.42