Finding the Fourth Proportional to 1,003.24, 1,384.34 and 561.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.24 : 1,384.34 = 561.03 : x
2. Step 2: Convert to fraction form
   1,003.24/1,384.34 = 561.03/x
3. Step 3: Cross multiply
   1,003.24x = 1,384.34 × 561.03
4. Step 4: Simplify right side
   1,003.24x = 776,651.43
5. Step 5: Solve for x
   x = 776,651.43/1,003.24
6. Step 6: Final answer
   x = 774.15