Finding the Fourth Proportional to 1,293.20, 1,940.70 and 563.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,293.20 : 1,940.70 = 563.30 : x
2. Step 2: Convert to fraction form
   1,293.20/1,940.70 = 563.30/x
3. Step 3: Cross multiply
   1,293.20x = 1,940.70 × 563.30
4. Step 4: Simplify right side
   1,293.20x = 1,093,196.31
5. Step 5: Solve for x
   x = 1,093,196.31/1,293.20
6. Step 6: Final answer
   x = 845.34