Finding the Fourth Proportional to 1,009.62, 1,393.20 and 567.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.62 : 1,393.20 = 567.50 : x
2. Step 2: Convert to fraction form
   1,009.62/1,393.20 = 567.50/x
3. Step 3: Cross multiply
   1,009.62x = 1,393.20 × 567.50
4. Step 4: Simplify right side
   1,009.62x = 790,634.03
5. Step 5: Solve for x
   x = 790,634.03/1,009.62
6. Step 6: Final answer
   x = 783.10