Finding the Fourth Proportional to 1,004.94, 1,386.64 and 562.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.94 : 1,386.64 = 562.83 : x
2. Step 2: Convert to fraction form
   1,004.94/1,386.64 = 562.83/x
3. Step 3: Cross multiply
   1,004.94x = 1,386.64 × 562.83
4. Step 4: Simplify right side
   1,004.94x = 780,442.59
5. Step 5: Solve for x
   x = 780,442.59/1,004.94
6. Step 6: Final answer
   x = 776.61