Finding the Fourth Proportional to 3,677.34, 5,074.74 and 2,185.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,677.34 : 5,074.74 = 2,185.32 : x
2. Step 2: Convert to fraction form
   3,677.34/5,074.74 = 2,185.32/x
3. Step 3: Cross multiply
   3,677.34x = 5,074.74 × 2,185.32
4. Step 4: Simplify right side
   3,677.34x = 11,089,930.82
5. Step 5: Solve for x
   x = 11,089,930.82/3,677.34
6. Step 6: Final answer
   x = 3,015.75