Finding the Fourth Proportional to 1,003.52, 1,384.86 and 561.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.52 : 1,384.86 = 561.42 : x
2. Step 2: Convert to fraction form
   1,003.52/1,384.86 = 561.42/x
3. Step 3: Cross multiply
   1,003.52x = 1,384.86 × 561.42
4. Step 4: Simplify right side
   1,003.52x = 777,488.10
5. Step 5: Solve for x
   x = 777,488.10/1,003.52
6. Step 6: Final answer
   x = 774.76