Finding the Fourth Proportional to 2,006.76, 3,010.12 and 852.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.76 : 3,010.12 = 852.50 : x
2. Step 2: Convert to fraction form
   2,006.76/3,010.12 = 852.50/x
3. Step 3: Cross multiply
   2,006.76x = 3,010.12 × 852.50
4. Step 4: Simplify right side
   2,006.76x = 2,566,127.30
5. Step 5: Solve for x
   x = 2,566,127.30/2,006.76
6. Step 6: Final answer
   x = 1,278.74