Finding the Fourth Proportional to 1,584.87, 2,375.82 and 854.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.87 : 2,375.82 = 854.52 : x
2. Step 2: Convert to fraction form
   1,584.87/2,375.82 = 854.52/x
3. Step 3: Cross multiply
   1,584.87x = 2,375.82 × 854.52
4. Step 4: Simplify right side
   1,584.87x = 2,030,185.71
5. Step 5: Solve for x
   x = 2,030,185.71/1,584.87
6. Step 6: Final answer
   x = 1,280.98