Finding the Fourth Proportional to 1,112.57, 1,535.31 and 646.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.57 : 1,535.31 = 646.82 : x
2. Step 2: Convert to fraction form
   1,112.57/1,535.31 = 646.82/x
3. Step 3: Cross multiply
   1,112.57x = 1,535.31 × 646.82
4. Step 4: Simplify right side
   1,112.57x = 993,061.54
5. Step 5: Solve for x
   x = 993,061.54/1,112.57
6. Step 6: Final answer
   x = 892.59