Finding the Fourth Proportional to 1,003.34, 1,384.57 and 561.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.34 : 1,384.57 = 561.23 : x
2. Step 2: Convert to fraction form
   1,003.34/1,384.57 = 561.23/x
3. Step 3: Cross multiply
   1,003.34x = 1,384.57 × 561.23
4. Step 4: Simplify right side
   1,003.34x = 777,062.22
5. Step 5: Solve for x
   x = 777,062.22/1,003.34
6. Step 6: Final answer
   x = 774.48