Finding the Fourth Proportional to 2,561.76, 3,822.72 and 2,270.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.76 : 3,822.72 = 2,270.16 : x
2. Step 2: Convert to fraction form
   2,561.76/3,822.72 = 2,270.16/x
3. Step 3: Cross multiply
   2,561.76x = 3,822.72 × 2,270.16
4. Step 4: Simplify right side
   2,561.76x = 8,678,186.04
5. Step 5: Solve for x
   x = 8,678,186.04/2,561.76
6. Step 6: Final answer
   x = 3,387.59