Finding the Fourth Proportional to 1,025.80, 1,536.56 and 852.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.80 : 1,536.56 = 852.04 : x
2. Step 2: Convert to fraction form
   1,025.80/1,536.56 = 852.04/x
3. Step 3: Cross multiply
   1,025.80x = 1,536.56 × 852.04
4. Step 4: Simplify right side
   1,025.80x = 1,309,210.58
5. Step 5: Solve for x
   x = 1,309,210.58/1,025.80
6. Step 6: Final answer
   x = 1,276.28