Finding the Fourth Proportional to 2,645.16, 3,971.91 and 2,550.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,645.16 : 3,971.91 = 2,550.84 : x
2. Step 2: Convert to fraction form
   2,645.16/3,971.91 = 2,550.84/x
3. Step 3: Cross multiply
   2,645.16x = 3,971.91 × 2,550.84
4. Step 4: Simplify right side
   2,645.16x = 10,131,706.90
5. Step 5: Solve for x
   x = 10,131,706.90/2,645.16
6. Step 6: Final answer
   x = 3,830.28