Finding the Fourth Proportional to 1,003.40, 1,384.71 and 561.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.40 : 1,384.71 = 561.32 : x
2. Step 2: Convert to fraction form
   1,003.40/1,384.71 = 561.32/x
3. Step 3: Cross multiply
   1,003.40x = 1,384.71 × 561.32
4. Step 4: Simplify right side
   1,003.40x = 777,265.42
5. Step 5: Solve for x
   x = 777,265.42/1,003.40
6. Step 6: Final answer
   x = 774.63