Finding the Fourth Proportional to 1,582.84, 2,375.07 and 853.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,582.84 : 2,375.07 = 853.12 : x
2. Step 2: Convert to fraction form
   1,582.84/2,375.07 = 853.12/x
3. Step 3: Cross multiply
   1,582.84x = 2,375.07 × 853.12
4. Step 4: Simplify right side
   1,582.84x = 2,026,219.72
5. Step 5: Solve for x
   x = 2,026,219.72/1,582.84
6. Step 6: Final answer
   x = 1,280.12