Finding the Fourth Proportional to 1,009.49, 1,392.96 and 561.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,009.49 : 1,392.96 = 561.33 : x
2. Step 2: Convert to fraction form
   1,009.49/1,392.96 = 561.33/x
3. Step 3: Cross multiply
   1,009.49x = 1,392.96 × 561.33
4. Step 4: Simplify right side
   1,009.49x = 781,906.75
5. Step 5: Solve for x
   x = 781,906.75/1,009.49
6. Step 6: Final answer
   x = 774.55