Finding the Fourth Proportional to 3,762.86, 5,192.71 and 2,084.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.86 : 5,192.71 = 2,084.37 : x
2. Step 2: Convert to fraction form
   3,762.86/5,192.71 = 2,084.37/x
3. Step 3: Cross multiply
   3,762.86x = 5,192.71 × 2,084.37
4. Step 4: Simplify right side
   3,762.86x = 10,823,525.72
5. Step 5: Solve for x
   x = 10,823,525.72/3,762.86
6. Step 6: Final answer
   x = 2,876.41