Finding the Fourth Proportional to 2,561.37, 3,836.88 and 1,462.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,561.37 : 3,836.88 = 1,462.56 : x
2. Step 2: Convert to fraction form
   2,561.37/3,836.88 = 1,462.56/x
3. Step 3: Cross multiply
   2,561.37x = 3,836.88 × 1,462.56
4. Step 4: Simplify right side
   2,561.37x = 5,611,667.21
5. Step 5: Solve for x
   x = 5,611,667.21/2,561.37
6. Step 6: Final answer
   x = 2,190.89