Finding the Fourth Proportional to 1,112.16, 1,535.16 and 646.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.16 : 1,535.16 = 646.80 : x
2. Step 2: Convert to fraction form
   1,112.16/1,535.16 = 646.80/x
3. Step 3: Cross multiply
   1,112.16x = 1,535.16 × 646.80
4. Step 4: Simplify right side
   1,112.16x = 992,941.49
5. Step 5: Solve for x
   x = 992,941.49/1,112.16
6. Step 6: Final answer
   x = 892.80