Finding the Fourth Proportional to 1,004.54, 1,386.24 and 562.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.54 : 1,386.24 = 562.46 : x
2. Step 2: Convert to fraction form
   1,004.54/1,386.24 = 562.46/x
3. Step 3: Cross multiply
   1,004.54x = 1,386.24 × 562.46
4. Step 4: Simplify right side
   1,004.54x = 779,704.55
5. Step 5: Solve for x
   x = 779,704.55/1,004.54
6. Step 6: Final answer
   x = 776.18