Finding the Fourth Proportional to 1,009.98, 1,393.62 and 567.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.98 : 1,393.62 = 567.78 : x
2. Step 2: Convert to fraction form
   1,009.98/1,393.62 = 567.78/x
3. Step 3: Cross multiply
   1,009.98x = 1,393.62 × 567.78
4. Step 4: Simplify right side
   1,009.98x = 791,269.56
5. Step 5: Solve for x
   x = 791,269.56/1,009.98
6. Step 6: Final answer
   x = 783.45