Finding the Fourth Proportional to 3,767.61, 5,656.59 and 1,919.97

Step by Step Solution

1. Step 1: Write the proportion equation
   3,767.61 : 5,656.59 = 1,919.97 : x
2. Step 2: Convert to fraction form
   3,767.61/5,656.59 = 1,919.97/x
3. Step 3: Cross multiply
   3,767.61x = 5,656.59 × 1,919.97
4. Step 4: Simplify right side
   3,767.61x = 10,860,483.10
5. Step 5: Solve for x
   x = 10,860,483.10/3,767.61
6. Step 6: Final answer
   x = 2,882.59