Finding the Fourth Proportional to 1,016.25, 1,402.06 and 574.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,016.25 : 1,402.06 = 574.06 : x
2. Step 2: Convert to fraction form
   1,016.25/1,402.06 = 574.06/x
3. Step 3: Cross multiply
   1,016.25x = 1,402.06 × 574.06
4. Step 4: Simplify right side
   1,016.25x = 804,869.27
5. Step 5: Solve for x
   x = 804,869.27/1,016.25
6. Step 6: Final answer
   x = 792.00