Finding the Fourth Proportional to 2,584.86, 3,880.56 and 1,899.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.86 : 3,880.56 = 1,899.60 : x
2. Step 2: Convert to fraction form
   2,584.86/3,880.56 = 1,899.60/x
3. Step 3: Cross multiply
   2,584.86x = 3,880.56 × 1,899.60
4. Step 4: Simplify right side
   2,584.86x = 7,371,511.78
5. Step 5: Solve for x
   x = 7,371,511.78/2,584.86
6. Step 6: Final answer
   x = 2,851.80