Finding the Fourth Proportional to 1,584.33, 2,377.52 and 854.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584.33 : 2,377.52 = 854.42 : x
2. Step 2: Convert to fraction form
   1,584.33/2,377.52 = 854.42/x
3. Step 3: Cross multiply
   1,584.33x = 2,377.52 × 854.42
4. Step 4: Simplify right side
   1,584.33x = 2,031,384.48
5. Step 5: Solve for x
   x = 2,031,384.48/1,584.33
6. Step 6: Final answer
   x = 1,282.17