Finding the Fourth Proportional to 1,003.25, 1,384.50 and 561.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.25 : 1,384.50 = 561.16 : x
2. Step 2: Convert to fraction form
   1,003.25/1,384.50 = 561.16/x
3. Step 3: Cross multiply
   1,003.25x = 1,384.50 × 561.16
4. Step 4: Simplify right side
   1,003.25x = 776,926.02
5. Step 5: Solve for x
   x = 776,926.02/1,003.25
6. Step 6: Final answer
   x = 774.41