Finding the Fourth Proportional to 1,003.59, 1,384.87 and 561.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.59 : 1,384.87 = 561.41 : x
2. Step 2: Convert to fraction form
   1,003.59/1,384.87 = 561.41/x
3. Step 3: Cross multiply
   1,003.59x = 1,384.87 × 561.41
4. Step 4: Simplify right side
   1,003.59x = 777,479.87
5. Step 5: Solve for x
   x = 777,479.87/1,003.59
6. Step 6: Final answer
   x = 774.70