Finding the Fourth Proportional to 2,289.48, 3,158.50 and 1,461

Step by Step Solution

1. Step 1: Write the proportion equation
   2,289.48 : 3,158.50 = 1,461 : x
2. Step 2: Convert to fraction form
   2,289.48/3,158.50 = 1,461/x
3. Step 3: Cross multiply
   2,289.48x = 3,158.50 × 1,461
4. Step 4: Simplify right side
   2,289.48x = 4,614,568.50
5. Step 5: Solve for x
   x = 4,614,568.50/2,289.48
6. Step 6: Final answer
   x = 2,015.55