Finding the Fourth Proportional to 1,003.69, 1,384.91 and 578.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.69 : 1,384.91 = 578.25 : x
2. Step 2: Convert to fraction form
   1,003.69/1,384.91 = 578.25/x
3. Step 3: Cross multiply
   1,003.69x = 1,384.91 × 578.25
4. Step 4: Simplify right side
   1,003.69x = 800,824.21
5. Step 5: Solve for x
   x = 800,824.21/1,003.69
6. Step 6: Final answer
   x = 797.88