Finding the Fourth Proportional to 3,762.88, 5,192.71 and 2,084.29

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.88 : 5,192.71 = 2,084.29 : x
2. Step 2: Convert to fraction form
   3,762.88/5,192.71 = 2,084.29/x
3. Step 3: Cross multiply
   3,762.88x = 5,192.71 × 2,084.29
4. Step 4: Simplify right side
   3,762.88x = 10,823,095.33
5. Step 5: Solve for x
   x = 10,823,095.33/3,762.88
6. Step 6: Final answer
   x = 2,876.28