Finding the Fourth Proportional to 2,462.37, 3,692.94 and 1,583.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,462.37 : 3,692.94 = 1,583.92 : x
2. Step 2: Convert to fraction form
   2,462.37/3,692.94 = 1,583.92/x
3. Step 3: Cross multiply
   2,462.37x = 3,692.94 × 1,583.92
4. Step 4: Simplify right side
   2,462.37x = 5,849,321.52
5. Step 5: Solve for x
   x = 5,849,321.52/2,462.37
6. Step 6: Final answer
   x = 2,375.48