Finding the Fourth Proportional to 3,767, 5,198.52 and 2,111

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767 : 5,198.52 = 2,111 : x
2. Step 2: Convert to fraction form
   3,767/5,198.52 = 2,111/x
3. Step 3: Cross multiply
   3,767x = 5,198.52 × 2,111
4. Step 4: Simplify right side
   3,767x = 10,974,075.72
5. Step 5: Solve for x
   x = 10,974,075.72/3,767
6. Step 6: Final answer
   x = 2,913.21