Finding the Fourth Proportional to 1,004.92, 1,386.77 and 556.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.92 : 1,386.77 = 556.83 : x
2. Step 2: Convert to fraction form
   1,004.92/1,386.77 = 556.83/x
3. Step 3: Cross multiply
   1,004.92x = 1,386.77 × 556.83
4. Step 4: Simplify right side
   1,004.92x = 772,196.46
5. Step 5: Solve for x
   x = 772,196.46/1,004.92
6. Step 6: Final answer
   x = 768.42