Finding the Fourth Proportional to 1,003.41, 1,384.75 and 561.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.41 : 1,384.75 = 561.30 : x
2. Step 2: Convert to fraction form
   1,003.41/1,384.75 = 561.30/x
3. Step 3: Cross multiply
   1,003.41x = 1,384.75 × 561.30
4. Step 4: Simplify right side
   1,003.41x = 777,260.18
5. Step 5: Solve for x
   x = 777,260.18/1,003.41
6. Step 6: Final answer
   x = 774.62