Finding the Fourth Proportional to 2,561.49, 3,836.08 and 1,462.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.49 : 3,836.08 = 1,462.52 : x
2. Step 2: Convert to fraction form
   2,561.49/3,836.08 = 1,462.52/x
3. Step 3: Cross multiply
   2,561.49x = 3,836.08 × 1,462.52
4. Step 4: Simplify right side
   2,561.49x = 5,610,343.72
5. Step 5: Solve for x
   x = 5,610,343.72/2,561.49
6. Step 6: Final answer
   x = 2,190.27