Finding the Fourth Proportional to 1,009.76, 1,393.54 and 567.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.76 : 1,393.54 = 567.82 : x
2. Step 2: Convert to fraction form
   1,009.76/1,393.54 = 567.82/x
3. Step 3: Cross multiply
   1,009.76x = 1,393.54 × 567.82
4. Step 4: Simplify right side
   1,009.76x = 791,279.88
5. Step 5: Solve for x
   x = 791,279.88/1,009.76
6. Step 6: Final answer
   x = 783.63