Finding the Fourth Proportional to 3,832.16, 5,742.74 and 2,185.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,832.16 : 5,742.74 = 2,185.30 : x
2. Step 2: Convert to fraction form
   3,832.16/5,742.74 = 2,185.30/x
3. Step 3: Cross multiply
   3,832.16x = 5,742.74 × 2,185.30
4. Step 4: Simplify right side
   3,832.16x = 12,549,609.72
5. Step 5: Solve for x
   x = 12,549,609.72/3,832.16
6. Step 6: Final answer
   x = 3,274.81