Finding the Fourth Proportional to 3,780.34, 5,217.10 and 2,101.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.34 : 5,217.10 = 2,101.76 : x
2. Step 2: Convert to fraction form
   3,780.34/5,217.10 = 2,101.76/x
3. Step 3: Cross multiply
   3,780.34x = 5,217.10 × 2,101.76
4. Step 4: Simplify right side
   3,780.34x = 10,965,092.10
5. Step 5: Solve for x
   x = 10,965,092.10/3,780.34
6. Step 6: Final answer
   x = 2,900.56