Finding the Fourth Proportional to 3,768.24, 5,200.50 and 2,196.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.24 : 5,200.50 = 2,196.30 : x
2. Step 2: Convert to fraction form
   3,768.24/5,200.50 = 2,196.30/x
3. Step 3: Cross multiply
   3,768.24x = 5,200.50 × 2,196.30
4. Step 4: Simplify right side
   3,768.24x = 11,421,858.15
5. Step 5: Solve for x
   x = 11,421,858.15/3,768.24
6. Step 6: Final answer
   x = 3,031.09