Finding the Fourth Proportional to 1,582.43, 2,371.71 and 1,120.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.43 : 2,371.71 = 1,120.34 : x
2. Step 2: Convert to fraction form
   1,582.43/2,371.71 = 1,120.34/x
3. Step 3: Cross multiply
   1,582.43x = 2,371.71 × 1,120.34
4. Step 4: Simplify right side
   1,582.43x = 2,657,118.37
5. Step 5: Solve for x
   x = 2,657,118.37/1,582.43
6. Step 6: Final answer
   x = 1,679.14