Finding the Fourth Proportional to 1,004.25, 1,386.17 and 562.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.25 : 1,386.17 = 562.30 : x
2. Step 2: Convert to fraction form
   1,004.25/1,386.17 = 562.30/x
3. Step 3: Cross multiply
   1,004.25x = 1,386.17 × 562.30
4. Step 4: Simplify right side
   1,004.25x = 779,441.33
5. Step 5: Solve for x
   x = 779,441.33/1,004.25
6. Step 6: Final answer
   x = 776.14