Finding the Fourth Proportional to 2,427.34, 3,642.83 and 1,605.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,427.34 : 3,642.83 = 1,605.32 : x
2. Step 2: Convert to fraction form
   2,427.34/3,642.83 = 1,605.32/x
3. Step 3: Cross multiply
   2,427.34x = 3,642.83 × 1,605.32
4. Step 4: Simplify right side
   2,427.34x = 5,847,907.86
5. Step 5: Solve for x
   x = 5,847,907.86/2,427.34
6. Step 6: Final answer
   x = 2,409.18