Finding the Fourth Proportional to 3,677.53, 5,075.72 and 2,106.67

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.53 : 5,075.72 = 2,106.67 : x
2. Step 2: Convert to fraction form
   3,677.53/5,075.72 = 2,106.67/x
3. Step 3: Cross multiply
   3,677.53x = 5,075.72 × 2,106.67
4. Step 4: Simplify right side
   3,677.53x = 10,692,867.05
5. Step 5: Solve for x
   x = 10,692,867.05/3,677.53
6. Step 6: Final answer
   x = 2,907.62