Finding the Fourth Proportional to 1,582.52, 2,180.46 and 1,139

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.52 : 2,180.46 = 1,139 : x
2. Step 2: Convert to fraction form
   1,582.52/2,180.46 = 1,139/x
3. Step 3: Cross multiply
   1,582.52x = 2,180.46 × 1,139
4. Step 4: Simplify right side
   1,582.52x = 2,483,543.94
5. Step 5: Solve for x
   x = 2,483,543.94/1,582.52
6. Step 6: Final answer
   x = 1,569.36