Finding the Fourth Proportional to 1,003.24, 1,384.48 and 561.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.24 : 1,384.48 = 561.16 : x
2. Step 2: Convert to fraction form
   1,003.24/1,384.48 = 561.16/x
3. Step 3: Cross multiply
   1,003.24x = 1,384.48 × 561.16
4. Step 4: Simplify right side
   1,003.24x = 776,914.07
5. Step 5: Solve for x
   x = 776,914.07/1,003.24
6. Step 6: Final answer
   x = 774.41