Finding the Fourth Proportional to 1,004.63, 1,386.42 and 562.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.63 : 1,386.42 = 562.55 : x
2. Step 2: Convert to fraction form
   1,004.63/1,386.42 = 562.55/x
3. Step 3: Cross multiply
   1,004.63x = 1,386.42 × 562.55
4. Step 4: Simplify right side
   1,004.63x = 779,930.57
5. Step 5: Solve for x
   x = 779,930.57/1,004.63
6. Step 6: Final answer
   x = 776.34