Finding the Fourth Proportional to 1,003.59, 1,384.80 and 578.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.59 : 1,384.80 = 578.19 : x
2. Step 2: Convert to fraction form
   1,003.59/1,384.80 = 578.19/x
3. Step 3: Cross multiply
   1,003.59x = 1,384.80 × 578.19
4. Step 4: Simplify right side
   1,003.59x = 800,672.75
5. Step 5: Solve for x
   x = 800,672.75/1,003.59
6. Step 6: Final answer
   x = 797.81