Finding the Fourth Proportional to 3,765.11, 5,196.72 and 2,506.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,765.11 : 5,196.72 = 2,506.22 : x
2. Step 2: Convert to fraction form
   3,765.11/5,196.72 = 2,506.22/x
3. Step 3: Cross multiply
   3,765.11x = 5,196.72 × 2,506.22
4. Step 4: Simplify right side
   3,765.11x = 13,024,126.50
5. Step 5: Solve for x
   x = 13,024,126.50/3,765.11
6. Step 6: Final answer
   x = 3,459.16