Finding the Fourth Proportional to 1,582.19, 2,182.55 and 1,109.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.19 : 2,182.55 = 1,109.89 : x
2. Step 2: Convert to fraction form
   1,582.19/2,182.55 = 1,109.89/x
3. Step 3: Cross multiply
   1,582.19x = 2,182.55 × 1,109.89
4. Step 4: Simplify right side
   1,582.19x = 2,422,387.60
5. Step 5: Solve for x
   x = 2,422,387.60/1,582.19
6. Step 6: Final answer
   x = 1,531.04