Finding the Fourth Proportional to 3,780.85, 5,215.59 and 2,569.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.85 : 5,215.59 = 2,569.10 : x
2. Step 2: Convert to fraction form
   3,780.85/5,215.59 = 2,569.10/x
3. Step 3: Cross multiply
   3,780.85x = 5,215.59 × 2,569.10
4. Step 4: Simplify right side
   3,780.85x = 13,399,385.31
5. Step 5: Solve for x
   x = 13,399,385.31/3,780.85
6. Step 6: Final answer
   x = 3,544.02