Finding the Fourth Proportional to 1,009.80, 1,393.58 and 567.74

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.80 : 1,393.58 = 567.74 : x
2. Step 2: Convert to fraction form
   1,009.80/1,393.58 = 567.74/x
3. Step 3: Cross multiply
   1,009.80x = 1,393.58 × 567.74
4. Step 4: Simplify right side
   1,009.80x = 791,196.01
5. Step 5: Solve for x
   x = 791,196.01/1,009.80
6. Step 6: Final answer
   x = 783.52