Finding the Fourth Proportional to 1,582.54, 2,374.72 and 705.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.54 : 2,374.72 = 705.61 : x
2. Step 2: Convert to fraction form
   1,582.54/2,374.72 = 705.61/x
3. Step 3: Cross multiply
   1,582.54x = 2,374.72 × 705.61
4. Step 4: Simplify right side
   1,582.54x = 1,675,627.38
5. Step 5: Solve for x
   x = 1,675,627.38/1,582.54
6. Step 6: Final answer
   x = 1,058.82