Finding the Fourth Proportional to 1,112.50, 1,535.25 and 646.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.50 : 1,535.25 = 646.84 : x
2. Step 2: Convert to fraction form
   1,112.50/1,535.25 = 646.84/x
3. Step 3: Cross multiply
   1,112.50x = 1,535.25 × 646.84
4. Step 4: Simplify right side
   1,112.50x = 993,061.11
5. Step 5: Solve for x
   x = 993,061.11/1,112.50
6. Step 6: Final answer
   x = 892.64