Finding the Fourth Proportional to 4,002.18, 5,523.20 and 2,233.86

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.18 : 5,523.20 = 2,233.86 : x
2. Step 2: Convert to fraction form
   4,002.18/5,523.20 = 2,233.86/x
3. Step 3: Cross multiply
   4,002.18x = 5,523.20 × 2,233.86
4. Step 4: Simplify right side
   4,002.18x = 12,338,055.55
5. Step 5: Solve for x
   x = 12,338,055.55/4,002.18
6. Step 6: Final answer
   x = 3,082.83