Finding the Fourth Proportional to 2,380.86, 3,565.10 and 1,642.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,380.86 : 3,565.10 = 1,642.75 : x
2. Step 2: Convert to fraction form
   2,380.86/3,565.10 = 1,642.75/x
3. Step 3: Cross multiply
   2,380.86x = 3,565.10 × 1,642.75
4. Step 4: Simplify right side
   2,380.86x = 5,856,563.22
5. Step 5: Solve for x
   x = 5,856,563.22/2,380.86
6. Step 6: Final answer
   x = 2,459.85