Finding the Fourth Proportional to 1,004.85, 1,386.72 and 562.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.85 : 1,386.72 = 562.73 : x
2. Step 2: Convert to fraction form
   1,004.85/1,386.72 = 562.73/x
3. Step 3: Cross multiply
   1,004.85x = 1,386.72 × 562.73
4. Step 4: Simplify right side
   1,004.85x = 780,342.01
5. Step 5: Solve for x
   x = 780,342.01/1,004.85
6. Step 6: Final answer
   x = 776.58