Finding the Fourth Proportional to 2,561.12, 3,842.58 and 1,466.40

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.12 : 3,842.58 = 1,466.40 : x
2. Step 2: Convert to fraction form
   2,561.12/3,842.58 = 1,466.40/x
3. Step 3: Cross multiply
   2,561.12x = 3,842.58 × 1,466.40
4. Step 4: Simplify right side
   2,561.12x = 5,634,759.31
5. Step 5: Solve for x
   x = 5,634,759.31/2,561.12
6. Step 6: Final answer
   x = 2,200.12