Finding the Fourth Proportional to 3,769.50, 5,202.15 and 2,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,769.50 : 5,202.15 = 2,113.50 : x
2. Step 2: Convert to fraction form
   3,769.50/5,202.15 = 2,113.50/x
3. Step 3: Cross multiply
   3,769.50x = 5,202.15 × 2,113.50
4. Step 4: Simplify right side
   3,769.50x = 10,994,744.03
5. Step 5: Solve for x
   x = 10,994,744.03/3,769.50
6. Step 6: Final answer
   x = 2,916.76