Finding the Fourth Proportional to 2,434.56, 3,648 and 1,461.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,434.56 : 3,648 = 1,461.12 : x
2. Step 2: Convert to fraction form
   2,434.56/3,648 = 1,461.12/x
3. Step 3: Cross multiply
   2,434.56x = 3,648 × 1,461.12
4. Step 4: Simplify right side
   2,434.56x = 5,330,165.76
5. Step 5: Solve for x
   x = 5,330,165.76/2,434.56
6. Step 6: Final answer
   x = 2,189.38