Finding the Fourth Proportional to 1,025.31, 1,534.82 and 828.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,025.31 : 1,534.82 = 828.48 : x
2. Step 2: Convert to fraction form
   1,025.31/1,534.82 = 828.48/x
3. Step 3: Cross multiply
   1,025.31x = 1,534.82 × 828.48
4. Step 4: Simplify right side
   1,025.31x = 1,271,557.93
5. Step 5: Solve for x
   x = 1,271,557.93/1,025.31
6. Step 6: Final answer
   x = 1,240.18