Finding the Fourth Proportional to 1,112.28, 1,535.04 and 646.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.28 : 1,535.04 = 646.56 : x
2. Step 2: Convert to fraction form
   1,112.28/1,535.04 = 646.56/x
3. Step 3: Cross multiply
   1,112.28x = 1,535.04 × 646.56
4. Step 4: Simplify right side
   1,112.28x = 992,495.46
5. Step 5: Solve for x
   x = 992,495.46/1,112.28
6. Step 6: Final answer
   x = 892.31