Finding the Fourth Proportional to 1,003.68, 1,384.93 and 561.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.68 : 1,384.93 = 561.52 : x
2. Step 2: Convert to fraction form
   1,003.68/1,384.93 = 561.52/x
3. Step 3: Cross multiply
   1,003.68x = 1,384.93 × 561.52
4. Step 4: Simplify right side
   1,003.68x = 777,665.89
5. Step 5: Solve for x
   x = 777,665.89/1,003.68
6. Step 6: Final answer
   x = 774.81