Finding the Fourth Proportional to 3,677.91, 5,075.71 and 2,106.51

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.91 : 5,075.71 = 2,106.51 : x
2. Step 2: Convert to fraction form
   3,677.91/5,075.71 = 2,106.51/x
3. Step 3: Cross multiply
   3,677.91x = 5,075.71 × 2,106.51
4. Step 4: Simplify right side
   3,677.91x = 10,692,021.42
5. Step 5: Solve for x
   x = 10,692,021.42/3,677.91
6. Step 6: Final answer
   x = 2,907.09