Finding the Fourth Proportional to 1,009.70, 1,393.37 and 567.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.70 : 1,393.37 = 567.59 : x
2. Step 2: Convert to fraction form
   1,009.70/1,393.37 = 567.59/x
3. Step 3: Cross multiply
   1,009.70x = 1,393.37 × 567.59
4. Step 4: Simplify right side
   1,009.70x = 790,867.78
5. Step 5: Solve for x
   x = 790,867.78/1,009.70
6. Step 6: Final answer
   x = 783.27