Finding the Fourth Proportional to 2,561.34, 3,846.90 and 1,467.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.34 : 3,846.90 = 1,467.84 : x
2. Step 2: Convert to fraction form
   2,561.34/3,846.90 = 1,467.84/x
3. Step 3: Cross multiply
   2,561.34x = 3,846.90 × 1,467.84
4. Step 4: Simplify right side
   2,561.34x = 5,646,633.70
5. Step 5: Solve for x
   x = 5,646,633.70/2,561.34
6. Step 6: Final answer
   x = 2,204.56