Finding the Fourth Proportional to 1,293.29, 1,784.81 and 733.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.29 : 1,784.81 = 733.67 : x
2. Step 2: Convert to fraction form
   1,293.29/1,784.81 = 733.67/x
3. Step 3: Cross multiply
   1,293.29x = 1,784.81 × 733.67
4. Step 4: Simplify right side
   1,293.29x = 1,309,461.55
5. Step 5: Solve for x
   x = 1,309,461.55/1,293.29
6. Step 6: Final answer
   x = 1,012.50