Finding the Fourth Proportional to 2,460.12, 3,692.61 and 1,582.89

Step by Step Solution

1. Step 1: Write the proportion equation
   2,460.12 : 3,692.61 = 1,582.89 : x
2. Step 2: Convert to fraction form
   2,460.12/3,692.61 = 1,582.89/x
3. Step 3: Cross multiply
   2,460.12x = 3,692.61 × 1,582.89
4. Step 4: Simplify right side
   2,460.12x = 5,844,995.44
5. Step 5: Solve for x
   x = 5,844,995.44/2,460.12
6. Step 6: Final answer
   x = 2,375.90