Finding the Fourth Proportional to 1,004.05, 1,385.59 and 561.97

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.05 : 1,385.59 = 561.97 : x
2. Step 2: Convert to fraction form
   1,004.05/1,385.59 = 561.97/x
3. Step 3: Cross multiply
   1,004.05x = 1,385.59 × 561.97
4. Step 4: Simplify right side
   1,004.05x = 778,660.01
5. Step 5: Solve for x
   x = 778,660.01/1,004.05
6. Step 6: Final answer
   x = 775.52