Finding the Fourth Proportional to 3,762.91, 5,192.91 and 2,084.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.91 : 5,192.91 = 2,084.46 : x
2. Step 2: Convert to fraction form
   3,762.91/5,192.91 = 2,084.46/x
3. Step 3: Cross multiply
   3,762.91x = 5,192.91 × 2,084.46
4. Step 4: Simplify right side
   3,762.91x = 10,824,385.89
5. Step 5: Solve for x
   x = 10,824,385.89/3,762.91
6. Step 6: Final answer
   x = 2,876.60