Finding the Fourth Proportional to 2,583.72, 3,876.12 and 853.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.72 : 3,876.12 = 853.56 : x
2. Step 2: Convert to fraction form
   2,583.72/3,876.12 = 853.56/x
3. Step 3: Cross multiply
   2,583.72x = 3,876.12 × 853.56
4. Step 4: Simplify right side
   2,583.72x = 3,308,500.99
5. Step 5: Solve for x
   x = 3,308,500.99/2,583.72
6. Step 6: Final answer
   x = 1,280.52