Finding the Fourth Proportional to 1,016.42, 1,402.66 and 568.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.42 : 1,402.66 = 568.30 : x
2. Step 2: Convert to fraction form
   1,016.42/1,402.66 = 568.30/x
3. Step 3: Cross multiply
   1,016.42x = 1,402.66 × 568.30
4. Step 4: Simplify right side
   1,016.42x = 797,134.42
5. Step 5: Solve for x
   x = 797,134.42/1,016.42
6. Step 6: Final answer
   x = 784.26