Finding the Fourth Proportional to 3,677.76, 5,075.34 and 2,185.89

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.76 : 5,075.34 = 2,185.89 : x
2. Step 2: Convert to fraction form
   3,677.76/5,075.34 = 2,185.89/x
3. Step 3: Cross multiply
   3,677.76x = 5,075.34 × 2,185.89
4. Step 4: Simplify right side
   3,677.76x = 11,094,134.95
5. Step 5: Solve for x
   x = 11,094,134.95/3,677.76
6. Step 6: Final answer
   x = 3,016.55