Finding the Fourth Proportional to 3,765.50, 5,196.42 and 2,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,765.50 : 5,196.42 = 2,109.50 : x
2. Step 2: Convert to fraction form
   3,765.50/5,196.42 = 2,109.50/x
3. Step 3: Cross multiply
   3,765.50x = 5,196.42 × 2,109.50
4. Step 4: Simplify right side
   3,765.50x = 10,961,847.99
5. Step 5: Solve for x
   x = 10,961,847.99/3,765.50
6. Step 6: Final answer
   x = 2,911.13