Finding the Fourth Proportional to 3,677.32, 5,075.14 and 2,105.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.32 : 5,075.14 = 2,105.38 : x
2. Step 2: Convert to fraction form
   3,677.32/5,075.14 = 2,105.38/x
3. Step 3: Cross multiply
   3,677.32x = 5,075.14 × 2,105.38
4. Step 4: Simplify right side
   3,677.32x = 10,685,072.88
5. Step 5: Solve for x
   x = 10,685,072.88/3,677.32
6. Step 6: Final answer
   x = 2,905.67