Finding the Fourth Proportional to 1,004.82, 1,386.63 and 556.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.82 : 1,386.63 = 556.72 : x
2. Step 2: Convert to fraction form
   1,004.82/1,386.63 = 556.72/x
3. Step 3: Cross multiply
   1,004.82x = 1,386.63 × 556.72
4. Step 4: Simplify right side
   1,004.82x = 771,964.65
5. Step 5: Solve for x
   x = 771,964.65/1,004.82
6. Step 6: Final answer
   x = 768.26