Finding the Fourth Proportional to 1,009.56, 1,393.12 and 567.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.56 : 1,393.12 = 567.53 : x
2. Step 2: Convert to fraction form
   1,009.56/1,393.12 = 567.53/x
3. Step 3: Cross multiply
   1,009.56x = 1,393.12 × 567.53
4. Step 4: Simplify right side
   1,009.56x = 790,630.43
5. Step 5: Solve for x
   x = 790,630.43/1,009.56
6. Step 6: Final answer
   x = 783.14