Finding the Fourth Proportional to 1,009.69, 1,393.50 and 567.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.69 : 1,393.50 = 567.61 : x
2. Step 2: Convert to fraction form
   1,009.69/1,393.50 = 567.61/x
3. Step 3: Cross multiply
   1,009.69x = 1,393.50 × 567.61
4. Step 4: Simplify right side
   1,009.69x = 790,964.54
5. Step 5: Solve for x
   x = 790,964.54/1,009.69
6. Step 6: Final answer
   x = 783.37