Finding the Fourth Proportional to 1,004.36, 1,385.83 and 562.26

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.36 : 1,385.83 = 562.26 : x
2. Step 2: Convert to fraction form
   1,004.36/1,385.83 = 562.26/x
3. Step 3: Cross multiply
   1,004.36x = 1,385.83 × 562.26
4. Step 4: Simplify right side
   1,004.36x = 779,196.78
5. Step 5: Solve for x
   x = 779,196.78/1,004.36
6. Step 6: Final answer
   x = 775.82