Finding the Fourth Proportional to 3,762.69, 5,192.56 and 2,084.12

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.69 : 5,192.56 = 2,084.12 : x
2. Step 2: Convert to fraction form
   3,762.69/5,192.56 = 2,084.12/x
3. Step 3: Cross multiply
   3,762.69x = 5,192.56 × 2,084.12
4. Step 4: Simplify right side
   3,762.69x = 10,821,925.92
5. Step 5: Solve for x
   x = 10,821,925.92/3,762.69
6. Step 6: Final answer
   x = 2,876.11