Finding the Fourth Proportional to 1,582.84, 2,182.27 and 1,298.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.84 : 2,182.27 = 1,298.21 : x
2. Step 2: Convert to fraction form
   1,582.84/2,182.27 = 1,298.21/x
3. Step 3: Cross multiply
   1,582.84x = 2,182.27 × 1,298.21
4. Step 4: Simplify right side
   1,582.84x = 2,833,033.83
5. Step 5: Solve for x
   x = 2,833,033.83/1,582.84
6. Step 6: Final answer
   x = 1,789.85