Finding the Fourth Proportional to 1,004.34, 1,386.04 and 556.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.34 : 1,386.04 = 556.24 : x
2. Step 2: Convert to fraction form
   1,004.34/1,386.04 = 556.24/x
3. Step 3: Cross multiply
   1,004.34x = 1,386.04 × 556.24
4. Step 4: Simplify right side
   1,004.34x = 770,970.89
5. Step 5: Solve for x
   x = 770,970.89/1,004.34
6. Step 6: Final answer
   x = 767.64