Finding the Fourth Proportional to 1,025.68, 1,531.82 and 820.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.68 : 1,531.82 = 820.56 : x
2. Step 2: Convert to fraction form
   1,025.68/1,531.82 = 820.56/x
3. Step 3: Cross multiply
   1,025.68x = 1,531.82 × 820.56
4. Step 4: Simplify right side
   1,025.68x = 1,256,950.22
5. Step 5: Solve for x
   x = 1,256,950.22/1,025.68
6. Step 6: Final answer
   x = 1,225.48