Finding the Fourth Proportional to 3,768.50, 5,200.53 and 2,196.29

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768.50 : 5,200.53 = 2,196.29 : x
2. Step 2: Convert to fraction form
   3,768.50/5,200.53 = 2,196.29/x
3. Step 3: Cross multiply
   3,768.50x = 5,200.53 × 2,196.29
4. Step 4: Simplify right side
   3,768.50x = 11,421,872.03
5. Step 5: Solve for x
   x = 11,421,872.03/3,768.50
6. Step 6: Final answer
   x = 3,030.88