Finding the Fourth Proportional to 1,004.56, 1,386.24 and 562.39

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.56 : 1,386.24 = 562.39 : x
2. Step 2: Convert to fraction form
   1,004.56/1,386.24 = 562.39/x
3. Step 3: Cross multiply
   1,004.56x = 1,386.24 × 562.39
4. Step 4: Simplify right side
   1,004.56x = 779,607.51
5. Step 5: Solve for x
   x = 779,607.51/1,004.56
6. Step 6: Final answer
   x = 776.07