Finding the Fourth Proportional to 2,561.02, 3,838.52 and 1,466.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.02 : 3,838.52 = 1,466.14 : x
2. Step 2: Convert to fraction form
   2,561.02/3,838.52 = 1,466.14/x
3. Step 3: Cross multiply
   2,561.02x = 3,838.52 × 1,466.14
4. Step 4: Simplify right side
   2,561.02x = 5,627,807.71
5. Step 5: Solve for x
   x = 5,627,807.71/2,561.02
6. Step 6: Final answer
   x = 2,197.49