Finding the Fourth Proportional to 1,578.39, 2,367.35 and 538.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,578.39 : 2,367.35 = 538.42 : x
2. Step 2: Convert to fraction form
   1,578.39/2,367.35 = 538.42/x
3. Step 3: Cross multiply
   1,578.39x = 2,367.35 × 538.42
4. Step 4: Simplify right side
   1,578.39x = 1,274,625.89
5. Step 5: Solve for x
   x = 1,274,625.89/1,578.39
6. Step 6: Final answer
   x = 807.55