Finding the Fourth Proportional to 1,009.77, 1,393.56 and 567.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.77 : 1,393.56 = 567.71 : x
2. Step 2: Convert to fraction form
   1,009.77/1,393.56 = 567.71/x
3. Step 3: Cross multiply
   1,009.77x = 1,393.56 × 567.71
4. Step 4: Simplify right side
   1,009.77x = 791,130.69
5. Step 5: Solve for x
   x = 791,130.69/1,009.77
6. Step 6: Final answer
   x = 783.47