Finding the Fourth Proportional to 3,762.27, 5,191.95 and 2,106.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,762.27 : 5,191.95 = 2,106.27 : x
2. Step 2: Convert to fraction form
   3,762.27/5,191.95 = 2,106.27/x
3. Step 3: Cross multiply
   3,762.27x = 5,191.95 × 2,106.27
4. Step 4: Simplify right side
   3,762.27x = 10,935,648.53
5. Step 5: Solve for x
   x = 10,935,648.53/3,762.27
6. Step 6: Final answer
   x = 2,906.66