Finding the Fourth Proportional to 3,780, 5,215.98 and 2,101.02

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780 : 5,215.98 = 2,101.02 : x
2. Step 2: Convert to fraction form
   3,780/5,215.98 = 2,101.02/x
3. Step 3: Cross multiply
   3,780x = 5,215.98 × 2,101.02
4. Step 4: Simplify right side
   3,780x = 10,958,878.30
5. Step 5: Solve for x
   x = 10,958,878.30/3,780
6. Step 6: Final answer
   x = 2,899.17