Finding the Fourth Proportional to 2,559.02, 3,836.09 and 1,461.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,559.02 : 3,836.09 = 1,461.87 : x
2. Step 2: Convert to fraction form
   2,559.02/3,836.09 = 1,461.87/x
3. Step 3: Cross multiply
   2,559.02x = 3,836.09 × 1,461.87
4. Step 4: Simplify right side
   2,559.02x = 5,607,868.54
5. Step 5: Solve for x
   x = 5,607,868.54/2,559.02
6. Step 6: Final answer
   x = 2,191.42