Finding the Fourth Proportional to 1,004.69, 1,386.41 and 562.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.69 : 1,386.41 = 562.52 : x
2. Step 2: Convert to fraction form
   1,004.69/1,386.41 = 562.52/x
3. Step 3: Cross multiply
   1,004.69x = 1,386.41 × 562.52
4. Step 4: Simplify right side
   1,004.69x = 779,873.61
5. Step 5: Solve for x
   x = 779,873.61/1,004.69
6. Step 6: Final answer
   x = 776.24