Finding the Fourth Proportional to 2,561.04, 3,838.53 and 1,466.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.04 : 3,838.53 = 1,466.16 : x
2. Step 2: Convert to fraction form
   2,561.04/3,838.53 = 1,466.16/x
3. Step 3: Cross multiply
   2,561.04x = 3,838.53 × 1,466.16
4. Step 4: Simplify right side
   2,561.04x = 5,627,899.14
5. Step 5: Solve for x
   x = 5,627,899.14/2,561.04
6. Step 6: Final answer
   x = 2,197.51